ࡱ> 685#` %bjbj\.\. *X>D>DkdZIZIZI8ILI|6"fJVLLLL$حh@\ǬǬLL3VܬϪϪϪLLϪϪϪV @aLZJ xZI<I 0"U Ϫaau ϪǬǬϪ"666$-ZI666ZI\r Abstract: Grade/Subject: 9-12/Algebra Time Frame: 5 or 6 40 minute periods Strand: Algebra Topic: Solving Systems of Linear Equations in Two Variables Objectives: This lesson will help students learn the substitution and elimination methods of solving a linear equation by first using the graphing calculator to graph and construct tables of linear equations. Materials: Graphing calculator, overhead display, handout (included) Authors: Scott Waseman and Steve Donaldson Concept: 1. A linear system of equations in two variables will have no solution, one solution, or an infinite number of solutions; 2. Systems of linear equations model real-world phenomena. Learning Objectives: 1. Student will be able to set up and solve systems of linear equations (algebra strand); 2. Student will be able to decide when a problem situation is best solved using a computer, calculator, paper and pencil, or mental arithmetic/estimation techniques (algebra). Project/Task: Students will use a graphing calculator to solve linear systems of equations in two variables using graphing features and table features. Students will then learn the algebraic methods of substitution and elimination. Students will identify which method is most appropriate for a given system, and use these systems to solve practical applications. As a final assessment, students will set up, describe, and solve systems using all methods. Assessment: Informal observation and feedback (individual and group) Demonstration of each method by student Pencil and paper Written analysis of methods Learning Strategies: This lesson lab is designed for algebra II students with a fundamental knowledge of using the graphing calculator. The first page of the included packet includes examples that can be shown to the students as appropriate; show them the graphing and table methods on the calculator (examples I & II) and then have them complete page 2 of the packet. Always allow them time to attempt the examples first individually or in small groups. The substitution method (example III) can be taught followed by page 3 of the packet, and elimination (example IV) followed by page 4 of the packet. The beginning of page 5 can be answered in groups and then summarized as a class. Pages 5 and 6 are intended to help the students determine which method is most appropriate and practice. After the students have a chance to work with each type, they can help come up with weaknesses for each technique. Page 7 provides practical application. Again, students should work in small groups to facilitate learning. Written assessment is also provided. Classroom and Information Management: This lesson is intended for rooms where students may view an overhead display and be able to move into groups (individual desks are ideal). Students should be at similar subject ability levels and instructor should be competent with demonstrating the examples. Allow ample time for students to attempt problems on their own. Sharing: Students are asked to find area and share methods of solution with classmates in discussion and in small groups. Results: Tables on the graphing calculator; graphs on the graphing calculator; evidence of knowledge on paper both mathematical and narrative. Tools and Resources: Graphing calculators, Overhead display, Worksheet with sample problems, Quiz Do & How: The graphing calculator will be used to help students understand relationships between two linear equations using a graph and table of values. Page 1 Name *A system of equations is solved by finding the (if any) that they share. *A system of equations share either , , or points. *A system of linear equations can be solved using one of four methods. TYPE DEFN WEAKNESSES I. Graphing II.. Table III. Substitution IV. Linear Combination (Elimination) Examples of types I, II, III, and IV. I. EMBED Equation.3 II. EMBED Equation.3 (use the table) III. EMBED Equation.3 IV. EMBED Equation.3 Page 2 Solve the following systems by graphing. Check your answers using a table. 1. EMBED Equation.3 2. EMBED Equation.3  3. EMBED Equation.3 4. EMBED Equation.3  5. EMBED Equation.3 6. EMBED Equation.3 Page 3 Solve the following systems using substitution. 7. EMBED Equation.3 8. EMBED Equation.3 9. EMBED Equation.3 10. EMBED Equation.3 11. EMBED Equation.3 12. EMBED Equation.3 Page 4 Solve the following systems using linear combination. 13. EMBED Equation.3 14. EMBED Equation.3 15. EMBED Equation.3 16. EMBED Equation.3 17. EMBED Equation.3 18. EMBED Equation.3 Page 5 Use the GRAPHING or TABLE method if Use the SUBSTITUTION method if Use the ELIMINATION (linear combination) method if For each of the following problems, describe briefly which method would be most appropriate and solve. Sometimes youll have infinite solutions: Sometimes youll have no solution: 19. EMBED Equation.3 20. EMBED Equation.3 method: method Some solutions are decimal: Some solutions are fractional: 21. EMBED Equation.3 22. EMBED Equation.3 method: method: Page 6 Some equations are large: 23. EMBED Equation.3 24. EMBED Equation.3 method: method: 25. EMBED Equation.3 26. EMBED Equation.3 method: method: Page 7 Use systems to solve the following problems. The choice of method is up to you. Use an alternate method to check your answers. I. Some coins (dimes and nickels) are in a pile. The total value of the pile is $1.35. The number of nickels is one coin less than twice the number of dimes. Using a system of equations, find the number of each type of coin. II. The larger of two complementary angles is 12 more than 5 times the measure of the smaller. Find the measure of the two angles. III. A boat travels 224 miles upstream in 8 hours. The next day It returns the same distance in 7 hours. Assuming the current remained the same both ways, what was the rate of the boat and the current? IV. You are searching for two integers. The sum of twice the first integer and three times the second integer is nine. At the same time, the sum of three times the first integer and twice the second integer is one. Find the two integers. Linear Systems Test Name Solve by graphing. Check your proposed answer with a table. 1.   EMBED Equation.2  Solve by substitution. 2.  EMBED Equation.2  Solve by linear combination (elimination). 3.  EMBED Equation.2  Solve using the method of your choice. 4. Bill has $2.00 in quarters and dimes. The number 4. of quarters is 4 less than twice the number of dimes. Find the number of coins of each type. 5. The larger of two supplementary angles is 6 less than 5. 5 times the smaller. Find the measure of the two angles. 6. A plane flew 2,100 km with the jet stream in 2.5 hours. The 6. return flight against the jet stream took 3.75 hours. Find the speed of the jet stream and the airspeed of the plane.     Project AMP Dr. Antonio Quesada Director, Project AMP   r -@BSwy<CE/79@AYZ\]bcTUXYijklꬠjh:gCJEHUj/< h:gCJUVjh:gCJUjh:gCJUmHnHu h:g>*CJ h:g5>* h:g5h:g h:gCJ h:g5CJh:g5>*CJ?  ()PQbcr s `^`` p`^p``^ p`^p``$% ,BRSy;<E./9 h^h`^23lm,- h  h h hF h8 h  @ d h  hH hHL]L-ST:;knop hH hpHP h hpHP h lst:>?OPQRVWgh÷~qj/< h:gCJUVjh:gCJEHUj/< h:gCJUV h:g5CJjh:gCJEHUj/< h:gCJUVjhh:gCJEHUj/< h:gCJUV h:g>*CJj4h:gCJEHUj/< h:gCJUVjh:gCJU h:gCJ(hijkm|}+/0@ƺ㭡㔈{ohh h:g5CJj,h:gCJEHUj/< h:gCJUVjh:gCJEHUj/< h:gCJUVjh:gCJEHUj/< h:gCJUVjO h:gCJEHUj/< h:gCJUVjh:gCJUmHnHu h:gCJjh:gCJUj h:gCJEHU'pqrstuvwxy hH+,\]^_`abcdefg h hpHP hH@ABCGHXYZ[jk{|}~ɽְ֗~reYj!h:gCJEHUj/< h:gCJUVjOh:gCJEHUj/< h:gCJUVjh:gCJEHUj/< h:gCJUVjh:gCJEHUj/< h:gCJUVjh:gCJEHUj/< h:gCJUV h:gCJjh:gCJUjXh:gCJEHUj/< h:gCJUV"GHIJKLMNOPQR hpHP  h*+,-23CDEFVWghijop¶wkj-h:gCJEHUj/< h:gCJUVj*h:gCJEHUj/< h:gCJUVj(h:gCJEHUj/< h:gCJUVj1&h:gCJEHUj/< h:gCJUVj#h:gCJEHUj/< h:gCJUVjh:gCJU h:gCJ h:g5CJ$GHI hH hpHP I,-./¶֩֐wkj8h:gCJEHUj/< h:gCJUVj16h:gCJEHUj/< h:gCJUVj3h:gCJEHUj/< h:gCJUVj1h:gCJEHUj/< h:gCJUV h:g5CJ h:gCJjh:gCJUjZ/h:gCJEHUj/< h:gCJUV$01@ABCDEFGHIJKLM"#3 hpHP pP   !HIYZ[\abrstuvwNQ?BV Y Z l!!ɽְ֗քքքրyyyyրt h:g>* h:g>*CJh:g h:g5CJjAh:gCJEHUj/< h:gCJUVj{?h:gCJEHUj/< h:gCJUVj/=h:gCJEHUj/< h:gCJUV h:gCJjh:gCJUj:h:gCJEHUj/< h:gCJUV*3456789:;<=>?@ABCDvw  hpHP RC} Z l m n  P P>^`>n o p q r s 1!k!!!!!!!!!!!!!!" & F h  h h  & F   h^h` P!!!!!!!!!!!!!""""(")"*"+"d"f"h"i"|"}"~""""F#H#####($*$$$궨ꕇtfj8 h:gCJEHU$j8 h:gCJUVmHnHuj8 h:gCJEHU$j8 h:gCJUVmHnHujA8 h:gCJEHU$jA8 h:gCJUVmHnHujh:gCJUjh:gCJUmHnHu h:g>*CJ h:gCJ h:g5CJh:g5>*CJ(","-"."/"0"1"2"3"4"5"6"g""""#I#J#K#L#M#N#O#P#Q#R#S# & F h  h S#T#U#################+$h$$$$$$$$ P h $$$$$$$$$$%%hMjhMUh:g h:gCJ $$$$$%%%%%% PgdM (/ =!"#$% 4Dd <  C A2)*}' D`!x)*}' p`hn (+Fxcdd```d``beV dX,XĐ iK A?d-bv1P5< %! . M-VK-WMcD( t=F^ p0fH%\e45wX`jl 927)?j#d 8t.EfE0FbEUњ$aT".yA'q7#ܕk.0`8wWFH"%l c41 b `p`dbR ,.IeC1f:];4Dd <  C A2)*}' x`!x)*}' p`hn (+Fxcdd```d``beV dX,XĐ iK A?d-bv1P5< %! . M-VK-WMcD( t=F^ p0fH%\e45wX`jl 927)?j#d 8t.EfE0FbEUњ$aT".yA'q7#ܕk.0`8wWFH"%l c41 b `p`dbR ,.IeC1f:];1Dd <  C A2!_aطc`5.=I/5CBл(,<2åJDi*5WUΨTnU$f<^O{:,|L%Tq /;$Hܓq`^*S~= $I?sz1-ϖkC"Kbz͙is; .H_sK2^-3,uM4sdWB0@Ò#'%Ls¿sJsM L2 0qrFStbJ?@Ja'E [KDd <  C A2RAP,w2M廐h !!j?tnl8Dd (<  C A2%8 !ah@v( `!|%8 !ah@v@ (+JxJ@ƿMCQPOŃ`%ASھ@ijn>`ߡ|qw,1Kf~f TjYj "&$$aOLeZ:U[]6]GK=m$Gʘ3Y›w?∝tg=XŐɝ!,kbTrS}UQ_7 }] V y=CbYr.5z/ychEF SașOEʓÿK=4$dOIJ3u ĭUvv6zj g '$(iyu8_3Dd <  C A2­K: ` `!w­K: @0= (+ExJPsoҴ`u*.JA[i4888! \3*sUxs'Ϲ!O̪+SyRy YE!mE۫sZ2rӄ3̩t3B`|O/#Y|O [2,Ѩu]x0V&Iȯ9=6;Zm#ϐkG2]dGŗ{i|\Yo|;2]<9U1$t]JLof͑Gځ!/ڒWG=?A@BDCEFGJHIKLMONPSRkTVUWYXZ\[]_^`bacedfhgijlnmoqprtsuwvxzy{}|~Root Entry F^9Data -DWordDocument*XObjectPool<7^_1022963625F<<Ole PIC LMETA x !"#$%&'()+./012345679<>?@ABCDEFGILMNOPQRSTUVX[]^_`abcdefhklmnopqrstvy{|}~L!! 8 .1  `& D & MathTypeTimes New Roman- 2  x 2 Vy 2 x 2 ySymbol- 2 - 2 r= 2 + 2 := 2 ; 2 ; 2 B;Times New Roman- 2 0 2 2 2 t3 & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39qCompObj fObjInfoOlePres000 Equation Native X!p 8 .1  `& D & MathTypeTimes New Roman- 2  x 2 Vy 2 x 2 ySymbol- 2 - 2 r= 2 + 2 := 2 ; 2 ; 2 B;Times New Roman- 2 0 2 2 2 t3 & "Systemn-~<qJmJ,rJ x-y=02x+y=3{LD_1022963626F< bOle PIC  LMETA  xD 8 .1  &@D & MathTypeTimes New Romanp- 2  x 2 Vy 2  x 2 ySymbol- 2 - 2 r= 2 + 2 := 2 ; 2 ; 2 B;Times New Romanp- 2 1 2 42 2 t7 & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39qEp 8 .1  &@D & MathTypeCompObj*fObjInfo,OlePres000-Equation Native 8XTimes New Romanp- 2  x 2 Vy 2  x 2 ySymbol- 2 - 2 r= 2 + 2 := 2 ; 2 ; 2 B;Times New Romanp- 2 1 2 42 2 t7 & "Systemn-~<qJmJ,rJ x-y=1x+2y=7{L   U .1  &D & MathTypeTimes New Roman_1022963627F b bOle :PIC ;LMETA =- 2 3 2 4 2 "20 2 4 2 5 2 10Times New Romane- 2 x 2 y 2 x 2 ySymbol- 2 + 2 = 2 + 2 = 2 ; 2 ; 2 B; & "Systemn-CompObjHfObjInfoJOlePres000KEquation Native Wh FMicrosoft Equation 3.0 DS Equation Equation.39q  U .1  &D & MathTypeTimes New Roman- 2 3 2 4 2 "20 2 4 2 5 2 10Times New Romane- 2 x 2 y 2 x 2 ySymbol- 2 + 2 = 2 + 2 = 2 ; 2 ; 2 B; & "Systemn-~LqJmJ,rJ 3x+4y=204x+5y=10{L (  J .1  @&D & MathTypeTimes New Roman9- 2 y 2 Mx 2 y _1022963628,F b bOle YPIC  ZLMETA \2 xSymbol- 2 5= 2 R+ 2 5= 2 w- 2 - 2 ; 2 ; 2 B;Times New Roman9- 2 o2 2 t3 2 J5 2 52 & "Systemn- FMicrosoft Equation 3.0 DS EqCompObj"gfObjInfoiOlePres000!#jEquation Native u\uation Equation.39q  J .1  @&D & MathTypeTimes New Roman9- 2 y 2 Mx 2 y 2 xSymbol- 2 5= 2 R+ 2 5= 2 w- 2 - 2 ; 2 ; 2 B;Times New Roman9- 2 o2 2 t3 2 J5 2 52 & "Systemn-~@qJmJ,rJ y=2x+3y=-5x-2{_1022963629&F b bOle wPIC %(xLMETA zL A .1  @&D & MathTypeTimes New Roman- 2 y 2 5x 2 y 2 5xSymbol- 2 5= 2 9- 2 5= 2 :+ 2 ; 2 ; 2 B;Times New Roman- 2 o3 2 Z3 2 o3 2 D1 & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39qCompObj'*fObjInfoOlePres000)+Equation Native \ A .1  @&D & MathTypeTimes New Roman- 2 y 2 5x 2 y 2 5xSymbol- 2 5= 2 9- 2 5= 2 :+ 2 ; 2 ; 2 B;Times New Roman- 2 o3 2 Z3 2 o3 2 D1 & "Systemn--~@qJmJ,rJ y=3x-3y=3x+1{L x_1022963630$4.F b bOle PIC -0LMETA   T .1  &D & MathTypeTimes New Roman- 2 2 2 54 2 86 2 4 2 )8 2 12Times New Roman%- 2 y 2 x 2 y 2 xSymbol- 2 = 2 - 2 = 2 - 2 ; 2 ; 2 B; & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39q  T .1  CompObj/2fObjInfoOlePres00013Equation Native d&D & MathTypeTimes New Roman- 2 2 2 54 2 86 2 4 2 )8 2 12Times New Roman%- 2 y 2 x 2 y 2 xSymbol- 2 = 2 - 2 = 2 - 2 ; 2 ; 2 B; & "Systemn-~HqJmJ,rJ 2y=4x-64y=8x-12{Lg<g< ~ ._10229636316F b~gOle PIC 58LMETA 1  &`| & MathType "-0{0Times New Roman- 2 y 2 qx 2 y 2 MxSymbol- 2 5= 2 v+ 2 = 2 Q- 2 ; 2 ; 2 Z; Times New Roman- 2 1p 2 2pTimes New Roman- 2 4 2 2 2 r6 & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39qf= ~ CompObj7:fObjInfoOlePres0009;$Equation Native h.1  &`| & MathType "-0{0Times New Roman- 2 y 2 qx 2 y 2 MxSymbol- 2 5= 2 v+ 2 = 2 Q- 2 ; 2 ; 2 Z; Times New Roman- 2 1p 2 2pTimes New Roman- 2 4 2 2 2 r6 & "Systemn-~LqJmJ,rJ y= 12 x+42y=x-6{Lg_1022963632\>F~g~gOle PIC =@LMETA xg 8 .1  &`D & MathTypeTimes New Roman<- 2  x 2 Xy 2 6x 2 ySymbol- 2 + 2 t= 2 - 2 ;+ 2 = 2 ; 2 ; 2 B;Times New Roman<- 2 1 2 1 & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39qfp 8 .1  CompObj?BfObjInfoOlePres000ACEquation Native X&`D & MathTypeTimes New Roman<- 2  x 2 Xy 2 6x 2 ySymbol- 2 + 2 t= 2 - 2 ;+ 2 = 2 ; 2 ; 2 B;Times New Roman<- 2 1 2 1 & "Systemn-~<qJmJ,rJ x+y=1-x+y=1{LM$M / .1  &`D_1022963633FF~g~gOle PIC EHLMETA h & MathTypeTimes New Roman!- 2  x 2 Vy 2  x 2 XySymbol- 2 - 2 r= 2 + 2 t= 2 ; 2 ; 2 B;Times New Roman4- 2 0 2 1 & "Systemn-CompObjGJfObjInfoOlePres000IKEquation Native T     !"#$%&'()*,/123456789:<?@ABCDEFGHJMOPQRSTUVWXZ]^_`abcdefhkmnopqrstuvwy|}~ FMicrosoft Equation 3.0 DS Equation Equation.39qN` / .1  &`D & MathTypeTimes New Roman!- 2  x 2 Vy 2  x 2 XySymbol- 2 - 2 r= 2 + 2 t= 2 ; 2 ; 2 B;Times New Roman4- 2 0 2 1 & "Systemn--~8qJmJ,rJ x-y=0x+y=1{_1022963634DTNF~g~gOle PIC MPLMETA hL** / .1  &@D & MathTypeTimes New Roman-- 2 y 2 x 2  x 2 |ySymbol- 2 5= 2 - 2 )= 2 7- 2 ; 2 ; 2 B;Times New Roman,- 2 1 2 K1 & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39qCompObjORfObjInfoOlePres000QS Equation Native +T*` / .1  &@D & MathTypeTimes New Roman-- 2 y 2 x 2  x 2 |ySymbol- 2 5= 2 - 2 )= 2 7- 2 ; 2 ; 2 B;Times New Roman,- 2 1 2 K1 & "Systemn-~8qJmJ,rJ y=x-1x=1-y{L (_1022963636VF~g~gOle -PIC UX.LMETA 0  B .1  @&D & MathTypeTimes New RomanSy- 2 y 2 Mx 2 x 2 ySymbol- 2 5= 2 R+ 2 + 2 := 2 ; 2 ; 2 B;Times New RomanSy- 2 o4 2 \1 2 2 2 t37 & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39q  B .1  @CompObjWZ;fObjInfo=OlePres000Y[>Equation Native I\&D & MathTypeTimes New RomanSy- 2 y 2 Mx 2 x 2 ySymbol- 2 5= 2 R+ 2 + 2 := 2 ; 2 ; 2 B;Times New RomanSy- 2 o4 2 \1 2 2 2 t37 & "Systemn-~@qJmJ,rJ y=4x+12x+y=37{L A .1   &D_1022963637L|^F~giOle KPIC ]`LLMETA N & MathTypeTimes New Roman- 2 3 2 55 2 9Times New Roman- 2 x 2 y 2  x 2 XySymbol- 2 - 2  = 2 b- 2 + 2 t= 2 ; 2 ; 2 B; & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39q A .1   &D & MathTypeTimes New Roman- 2 3 2 CompObj_bYfObjInfo[OlePres000ac\Equation Native g\55 2 9Times New Roman- 2 x 2 y 2  x 2 XySymbol- 2 - 2  = 2 b- 2 + 2 t= 2 ; 2 ; 2 B; & "Systemn-~@qJmJ,rJ 3x-y=-5x+y=9{L @  ^ .1   & D & MathTypeSymbol- 2 - 2 + 2 )= 2 n_1022963638fFiiOle iPIC ehjLMETA l+ 2 $= 2 ; 2 ; 2 B;Times New Roman- 2 5 2 ;9 2 c21 2 2 2 62 2 F14Times New Romanp- 2 m 2 n 2 m 2 n & "Systemn-CompObjgjxfObjInfozOlePres000ik{Equation Native h FMicrosoft Equation 3.0 DS Equation Equation.39q  ^ .1   & D & MathTypeSymbol- 2 - 2 + 2 )= 2 + 2 $= 2 ; 2 ; 2 B;Times New Roman- 2 5 2 ;9 2 c21 2 2 2 62 2 F14Times New Romanp- 2 m 2 n 2 m 2 n & "Systemn-~LqJmJ,rJ -5m+9n=212m+2n=14{L   T .1  &D & MathTypeTimes New Roman- 2 4 2 7 2 34_1022963639dtnFiiOle PIC mpLMETA  2 2 2 8 2 4Times New Roman%- 2 a 2 b 2 b 2 aSymbol- 2 - 2 = 2 = 2 + 2 ; 2 ; 2 B; & "Systemn- FMicrosoft Equation 3.0 DS EqCompObjorfObjInfoOlePres000qsEquation Native duation Equation.39q  T .1  &D & MathTypeTimes New Roman- 2 4 2 7 2 34 2 2 2 8 2 4Times New Roman%- 2 a 2 b 2 b 2 aSymbol- 2 - 2 = 2 = 2 + 2 ; 2 ; 2 B; & "Systemn-~HqJmJ,rJ 4a-7b=342b=8a+4{_1022963640vFiiOle PIC uxLMETA LU U  V .1  ` & D & MathTypeTimes New Roman<- 2 11 2 |4 2 14 2 2 2 16Times New Roman4- 2 Wx 2 fy 2 x 2 GySymbol- 2 [- 2 = 2 - 2 + 2 c= 2 ; 2 ; 2 B; & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39qCompObjwzfObjInfoOlePres000y{Equation Native hV  V .1  ` & D & MathTypeTimes New Roman<- 2 11 2 |4 2 14 2 2 2 16Times New Roman4- 2 Wx 2 fy 2 x 2 GySymbol- 2 [- 2 = 2 - 2 + 2 c= 2 ; 2 ; 2 B; & "Systemn-~LqJmJ,rJ 11x-4y=14-2x+y=16{_1022963641l~FiiOle PIC }LMETA L   U .1   &D & MathTypeTimes New Roman@- 2 2 2 7 2 :40 2 2 2 3 2  20Times New Roman- 2 x 2 y 2 x 2 ySymbol- 2 + 2 = 2 - 2 = 2 ; 2 ; 2 B; & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39qCompObjfObjInfoOlePres000Equation Native h  U .1   &D & MathTypeTimes New Roman@- 2 2 2 7 2 :40 2 2 2 3 2  20Times New Roman- 2 x 2 y 2 x 2 ySymbol- 2 + 2 = 2 - 2 = 2 ; 2 ; 2 B; & "Systemn-~LqJmJ,rJ 2x+7y=402x-3y=20{L2 _1022963642FinOle PIC LMETA 2  \ .1  @ & D & MathTypeSymbol- 2 - 2 + 2 = 2 + 2 := 2 |- 2 ; 2 ; 2 B;Times New RomanI- 2 3 2  4 2 K7 2 2 2 O1Times New Roman- 2 x 2 y 2 x 2 y & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39q3  \ CompObjfObjInfoOlePres000Equation Native d      "%'()*+,-./0256789:;<=>@CEFGHIJKLMNOQTUVWXYZ[\]^`cefghijklmnoqtuvwxyz{|}~.1  @ & D & MathTypeSymbol- 2 - 2 + 2 = 2 + 2 := 2 |- 2 ; 2 ; 2 B;Times New RomanI- 2 3 2  4 2 K7 2 2 2 O1Times New Roman- 2 x 2 y 2 x 2 y & "Systemn-~HqJmJ,rJ -3x+4y=72x+y=-1{LU _1022963643FnnOle PIC LMETA U  J .1  ` & D & MathTypeTimes New Roman- 2 8 2 1 2 3 2 `4Times New Roman!- 2 x 2 x 2 /ySymbol- 2 = 2 - 2 - 2 + 2 K= 2 - 2 ; 2 ; 2 B; & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39qV  J .1  ` CompObjfObjInfoOlePres000Equation Native !\& D & MathTypeTimes New Roman- 2 8 2 1 2 3 2 `4Times New Roman!- 2 x 2 x 2 /ySymbol- 2 = 2 - 2 - 2 + 2 K= 2 - 2 ; 2 ; 2 B; & "Systemn-~@qJmJ,rJ 8x=-1-3x+y=-4{L x  K .1  &D_1022963644FnnOle #PIC $LMETA & & MathTypeSymbol- 2 - 2 :- 2 = 2 - 2 = 2 ; 2 ; 2 B;Times New Roman!- 2 6x 2 y 2 x 2 yTimes New Roman]- 2 6 2 7 2 3 2 18 & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39q  K .1  &D & MathTypeSymbol- 2 - 2 :-CompObj1fObjInfo3OlePres0004Equation Native ?` 2 = 2 - 2 = 2 ; 2 ; 2 B;Times New Roman!- 2 6x 2 y 2 x 2 yTimes New Roman]- 2 6 2 7 2 3 2 18 & "Systemn-~DqJmJ,rJ -x-y=67x-3y=18{Ly y  _ .1   &@ D & MathTypeTimes New Roman!- 2 11 2 y2 2 27_1022963645FnnOle APIC BLMETA D 2 21 2 3 2 9Times New Roman)- 2 Ux 2 _y 2 lx 2 _ySymbol- 2 W+ 2 x= 2 n+ 2 x= 2 - 2 ; 2 ; 2 B; & "Systemn-CompObjPfObjInfoROlePres000SEquation Native _l FMicrosoft Equation 3.0 DS Equation Equation.39qy  _ .1   &@ D & MathTypeTimes New Roman!- 2 11 2 y2 2 27 2 21 2 3 2 9Times New Roman)- 2 Ux 2 _y 2 lx 2 _ySymbol- 2 W+ 2 x= 2 n+ 2 x= 2 - 2 ; 2 ; 2 B; & "Systemn-@~PlJ0qJ mJ 11x+2y=2721x+3y=-9{L   i .1  @ & D & MathTypeTimes New Roman- 2 3 2 8 2 10_1022963646FnnOle aPIC bLMETA d 2 21 2 56 2  84Times New Roman5- 2 x 2 y 2 x 2 QySymbol- 2 - 2 = 2 - 2 + 2 m= 2  - 2 ; 2 ; 2 B; & "Systemn-CompObjpfObjInforOlePres000sEquation Native t FMicrosoft Equation 3.0 DS Equation Equation.39q  i .1  @ & D & MathTypeTimes New Roman- 2 3 2 8 2 10 2 21 2 56 2  84Times New Roman5- 2 x 2 y 2 x 2 QySymbol- 2 - 2 = 2 - 2 + 2 m= 2  - 2 ; 2 ; 2 B; & "Systemn-n~XqJmJ,rJ 3x-8y=10-21x+56y=-84{L d  C .1  &`D & MathTypeTimes New Roman-- 2 y 2 `x 2 x _1022963583FnnOle PIC LMETA 2 ySymbol- 2 5= 2 '- 2 + 2 = 2 ; 2 ; 2 B;Times New Roman,- 2 W17 2 3 2 3 2 51 & "Systemn- FMicrosoft Equation 3.0 DS EqCompObjfObjInfoOlePres000Equation Native `uation Equation.39q  C .1  &`D & MathTypeTimes New Roman-- 2 y 2 `x 2 x 2 ySymbol- 2 5= 2 '- 2 + 2 = 2 ; 2 ; 2 B;Times New Roman,- 2 W17 2 3 2 3 2 51 & "Systemn-n}DqJmJ,rJ y=17-x3x+3y=51{_1022963584FnqOle PIC LMETA L J .1   &D & MathTypeTimes New Roman- 2 3 2 \4 2 3 2 71Times New Roman)- 2 x 2 y 2 x 2 ySymbol- 2 + 2 "= 2 + 2 "= 2 d- 2 ; 2 ; 2 B; & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39qCompObjfObjInfoOlePres000Equation Native \ J .1   &D & MathTypeTimes New Roman- 2 3 2 \4 2 3 2 71Times New Roman)- 2 x 2 y 2 x 2 ySymbol- 2 + 2 "= 2 + 2 "= 2 d- 2 ; 2 ; 2 B; & "Systemn-}@qJmJ,rJ 3x+y=43x+y=-1{Lp |_1022963585FqqOle PIC LMETA 8p   .1  ` & D & MathTypeTimes New Roman4- 2 3 2 2 2  47 2 5 2 5 2 4 2 271 2 z 3Times New Roman)- 2 x 2 y 2 x 2 ySymbol- 2 - 2 = 2 + 2 = 2 ; 2 ; 2 B;Times New Roman4- 2 .` 2 , .` & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39qCompObjfObjInfoOlePres000XEquation Native tp 0  .1  ` & D & MathTypeTimes New Roman4- 2 3 2 2 2  47 2 5 2 5 2 4 2 271 2 z 3Times New Roman)- 2 x 2 y 2 x 2 ySymbol- 2 - 2 = 2 + 2 = 2 ; 2 ; 2 B;Times New Roman4- 2 .` 2 , .` & "Systemn-}XqJmJ,rJ 3x-2y=47.55x+4y=271.3{_1022963586 FqqOle PIC LMETA Lg<g< ~ .1  &`| & MathType "-popTimes New Roman- 2 4 2 t7 2 2 Times New Roman- 2 L1p 2 <2pTimes New Roman- 2 x 2 y 2  x 2 qySymbol- 2 + 2 := 2 )= 2 u- 2 ; 2 ; 2 Z; & "Systemn-CompObjfObjInfoOlePres000$Equation Native h FMicrosoft Equation 3.0 DS Equation Equation.39qf= ~ .1  &`| & MathType "-popTimes New Roman- 2 4 2 t7 2 2 Times New Roman- 2 L1p 2 <2pTimes New Roman- 2 x 2 y 2  x 2 qySymbol- 2 + 2 := 2 )= 2 u- 2 ; 2 ; 2 Z; & "Systemn-     !#$%&'()*+,-/23456789:;<>?BDEFGHIJKLMORSTUVWXYZ[\^acdefghijklnqrstuvwxyz{}}LqJmJ,rJ 4x+y=7x= 12 y-2{L!! 8 .1  `& D & MathTypeTimes New Roman_1022963587FqqOle PIC LMETA x- 2 y 2 5x 2  x 2 VySymbol- 2 5= 2 9- 2 - 2 r= 2 ; 2 ; 2 B;Times New Roman- 2 o3 2 Z2 2 2 & "Systemn- FMicrosoft Equation 3.0 DS EqCompObjfObjInfoOlePres000Equation Native Xuation Equation.39q!p 8 .1  `& D & MathTypeTimes New Roman- 2 y 2 5x 2  x 2 VySymbol- 2 5= 2 9- 2 - 2 r= 2 ; 2 ; 2 B;Times New Roman- 2 o3 2 Z2 2 2 & "Systemn-}<qJmJ,rJ y=3x-2x-y=2{_1022963588FqdsOle PIC  LMETA "L   e .1  ` & D & MathTypeTimes New RomanI- 2 100 2 >100 2  500 2 200 2 T100 2  100Times New Roman- 2 /x 2 y 2 Gx 2 ySymbol- 2 4+ 2 = 2 K- 2 = 2 ; 2 ; 2 B; & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39qCompObj.fObjInfo0OlePres0001Equation Native =  e .1  ` & D & MathTypeTimes New RomanI- 2 100 2 >100 2  500 2 200 2 T100 2  100Times New Roman- 2 /x 2 y 2 Gx 2 ySymbol- 2 4+ 2 = 2 K- 2 = 2 ; 2 ; 2 B; & "Systemn-}hqJmJ,rJ 100x+100y=500200x-100y=100{_1022963589FdsuOle @PIC ALMETA CL x  U .1  &D & MathTypeTimes New Roman<- 2 3 2 2 2 14 2 23 2 10Times New Roman%- 2 a 2 b 2 a 2 bSymbol- 2 + 2 = 2 - 2 = 2 >- 2 ; 2 ; 2 B; & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39qCompObjNfObjInfoPOlePres000QEquation Native ]h  U .1  &D & MathTypeTimes New Roman<- 2 3 2 2 2 14 2 23 2 10Times New Roman%- 2 a 2 b 2 a 2 bSymbol- 2 + 2 = 2 - 2 = 2 >- 2 ; 2 ; 2 B; & "Systemn-D}LqJmJ,rJ 3a+2b=14a-3b=-10{_1022963590FuuOle _PIC `LMETA bL; <;  S .1  `& D & MathTypeTimes New Romanp- 2 4 2 62 2 ^2 2 5 2 M8Times New Roman- 2 m 2 n 2 m 2 nSymbol- 2 + 2 $= 2 - 2 8= 2 z- 2 ; 2 ; 2 B; & "Systemn- FMicrosoft Equation 3.0 DS Equation Equation.39qCompObjmfObjInfooOlePres000pEquation Native |`<  S .1  `& D & MathTypeTimes New Romanp- 2 4 2 62 2 ^2 2 5 2 M8Times New Roman- 2 m 2 n 2 m 2 nSymbol- 2 + 2 $= 2 - 2 8= 2 z- 2 ; 2 ; 2 B; & "Systemn-}DqJmJ,rJ 4m+2n=25m-n=-8{L^ O_941354305FuuOle ~PIC LMETA h^  / .1  @&@ & MathTypeTimes New Roman0- 2 PLx 2 Py 2 #x 2 nySymbol- 2 PQ+ 2 P= 2 <- 2 (+ 2 = 2 -Times New Roman0- 2 P3 2 ]3 2 5 & "Systemn- FMicrosoft Equation 2.0 DS Equation Equation.29q8lJ(qJmJ x+y=3-3x+y=-5CompObjfObjInfoEquation Native T_941354390FuuOle PIC LMETA hCompObjfL (  0 .1  @@& & MathTypeTimes New Roman)- 2 P44 2 P13 2 s4 2 1Times New Roman1- 2 Px 2 P[y 2 Lx 2 ]ySymbol- 2 P- 2 Pw= 2 P- 2 Q+ 2 y= & "Systemn- FMicrosoft Equation 2.0 DS Equation Equation.29qObjInfoEquation Native X_941354455FuuOle <lJ(qJmJ 4x-y=-13x+4y=1L B .1  @ & & MathTypeTimes New RomanPIC LMETA CompObjfObjInfo- 2 P42 2 P93 2 Pa25 2 43 2 4 2 :5Times New Roman- 2 Px 2 P y 2 x 2  ySymbol- 2 P+ 2 P'= 2 - 2 %= 2 g- & "Systemn- FMicrosoft Equation 2.0 DS Equation Equation.29q@lJ0qJ mJ 2x+3y=253x-4y=-5Oh+'0x  ( 4 @ LX`hpEquation Native \1TableSummaryInformation(DocumentSummaryInformation80      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklm2kgDi`!kgDi `\vxJAgf/|h! j#>BM*+#(xI4A=,,RX;J1; w?󱳃(?0 j%N RELVpIШ3뗥s$,@羴zr'ddRւ0P'i : PִUnU=@֎|Mހ9QOcm8\X&qc9\ 1ܳ-x,Ȳ%4aMђE^gM,s4yD)TOtdbe+S Z|$W=7+ }{)k6$IItt=\HDjx>4ps2Dd <   C A 2Gf=_o~>`!vGf=_op (+Dxcdd```d``beV dX,XĐ iv! KA?HZ .@cjx|K2B* R]! A6&ZZ`v.Pz#9` +" Jf3&T5wY`jl 927)?j#dLmpp;@"H"̨0eEյ 3D-\ĉ"(r CF]`pl0.hlqcb8$=4Ĥ\Y\ːb`uG],Dd $<   C A  2a3?cx̷cxp`!pa3?cx̷c^HD (+>xuJAٽ*ZHԈ؈&D́^#XYHaaGwP=q?S5UvN|o[xcdd``gd``beV dX,XĐ iK A?d-b61P5< %! . M-VK-WMcD( t=FIJpvfH\3/#H +L`{6W&0@c5-eH7 HD.rYMfs45@"o@E!"o"N,w@pbN:p)`2ɛ&.pA ;LLJ% y V0aY>Dd (<   C A  2])Px``!])Px`@ (+PxJPsoZ۴`u"ZA֡R!`Z#>DC>`<&hB-!OOYIQDJĐMZ2(Gy jL<72wC|(dsxҞ\|_ABAg)Y _'SDd @<  C A 20{WjM@`!0{WjM p(+exuJ@gv֦Ciz*"Hx۳P%`B қ`k>O͒TLXv7.B@"/G(TdLPDQdjuI$yeqg]h-$phPtO#LIkp_&C懍@t'*v$JEmO O-E6RdȞ!ʬ&;\fɫ!VLވVΝޥud} 禎T)K|A5 *졝";VBlM *?NױS4vA=?P~Y7o[߻^=+hzwM0gGDd <  C A2OR^/is`!OR^/is@ (+YxuJ@ƿ٤҂AS""^`)L+ > ^[h 9Tи;,!b`_vv X rTl9q3١5&uUy51emX%뙌M5p.u]OwYpS?~Wꔓ/ݣ!ߖ"8 Y)){QEkfHV Ct?fxs:z'S;rvH(a]E%SogC^ YZ%k ! ݐc[I~ : \x5CBlAź_jrRDd <  C A2lm)w"!`!lm)w"۬` (+dxuJAƿٽ$`a#.J 1ʉ 聅} >D >ݹUO<vw|;" r*B, ($WP.4,n⸚0H'Q둚 TTTUM)є6xdoⓍxpG׭lx͎jcT[5M#}"fޠHXUVrQ3P^ƪ:G㫒.y3r$0$M(׌4s Ӊ.*;RK7dِP~&=A3YwYO&2&φX1yQNn_i|&^ 3|h?IDd <  C A2ߥz ytR,$`!ߥz ytR  (+[xu1K@.mMZ0:hEqP!`ZO888# fvCqRqDx%5bowGK8SRDLHid&,U㫉 fʣBMp:Vե>S55lz(98 8#At鄭69I]W;-!5YVJE]*E_"ٷh|糯I8'$_s+C,M"CY$hܿ=:A# :0%,ɚ!eM}<~ki;~N 3lȆE فf«>bu{AvsuߤHjNDd <  C A2a1hg5Ou&`!a1hg5O@ PV(+`xcdd``ad``beV dX,XĐ i A?d-ֹᆪaM,,He`xV! @0@penR~E@Q! F\s22\dh#Dl"wo0lŊ `0쁊00CDEX "">E $37X/\!(?71'F0or`W3p]i$1a v?@t71p( \"}UfhX?%ӝʌH27 -"Y#J ױtnw4sLC"h"qvIzv`zESDt NF鿚! L^a y3dJ;;{[Grə(j,/ ZC'K-k]Dd <  C A2HO6cԐR)/`!HO6cԐR)@ h(+oxu1K@w& A8HV+D\L+O&h.:ftqw/V /w`I/%Ud#xDg:u666 ͧ1PyOF7*-L6خ /~CFphpumv^ӫ50MNtu>i")KbŤVF K=1+!Xi5,+d,.G9&"&Ú@f=q{Cۉez.YϚ<Y$⊼-$76ZugWuNL "ɦI,S:P֡.cUV]A_Nq BDd d<  C A2ݠ#6xN( ;1`!ݠ#6xN( ;^ (+TxuJAٽ Zh(BlV M/|"E ΀m VrmfgE@ 0T 8l S]Ӿ8œVXBsV8PהLMY3Wv#n&l1yʑU9줪>+thkC[krmX>R<8./̺J =WJSŋ%9Me5k)D;#C aɞOEs?sZsJ|\Dն#D7߿"orJ\C&yWED2G3|AB,7^Qr/_c8Dd <  C A2zaIANW=4`!|zaIANW  (+JxuJPƿsoش`q  UA\IvtP0Ђf|y }'xIJ= =a [MaSDBHeY&dk;'co:Ed&>&.˟{n|S]I!!9Y28D>L%-~cͻ:KlX&՛!m&O"3Gƒ%UǐؒT5ӽ+SA'yfId+xY1dےT5֜ȼZ<і@Ւ''oLbl=_]ޓWncOHf',c mDd |<  C A2,If[6ȣu6`!,If[6ȣ0` (+xK@ƿKI A Z .⪃  -hE\,4 8 ƻ){ww{L@\0carrpƈ0!#R,Vh__MkZFSG6 ׾n-`K5ylz 38 ;αq[mTIQQx&CHE+&vV*T5M4yc2*O(O͑t&LL͟h n5y44 ]J_k As:ekOd$YN u1Ȼ&FD>$ˏ^bwEէ,Ì9.$~`Dd <  C A2|y-8L%廿\8`!|y-8L%廿\ `\rx;KAgf/9) Iee/9IDX"!B%(xΞ[Hn^(?0jeΑ, RLpI0QׯHўrv!VN@Z}l SH4EktNaT-ICg,>Kh eHkR~ͷ#}=hD: rj00UdÐH<0J< Iod;*$dۺ:z.pl::ڇsφ,YDb"Ĺ8T?n?]'`lf1$+&)[OM 94y$LNK?O}G$*v󡙾96n/1Dd <  C A2YWhV3[%}B;`!uYWhV3[%p`hn (+CxJPsoдbu*nqWlqpB@b G:88|wxIz,.997*7 PX\^Ue*"B*2!k(d]Q]Sӹ9'4 ǻݽO@ ),e 8, eA(qiOLa}(+;JSL5c/<K\~s!"^\$}| Mp%]CХgH]S>C_mW3<6½y"9lOudvZْ15$4$M$C+Qsɜbi dݐH@ SN44;v'v%.}{}w;w~'@{u>eiRO4gL&kd?^/G=҄| :KhA+g03[ZGC2|zi䲚恶y^/&2&Z1ySN{fO !!Zadq Overview:ITS Normal.dotRhonda Renker3Microsoft Office Word@F#@ۿ@:@ Gf՜.+,0 hp  University of Akron4  Overview: Title  FMicrosoft Office Word Document MSWordDocWord.Document.89q8@8 Normal_HmH sH tH F@F Heading 1$@& hH5DA@D Default Paragraph FontVi@V  Table Normal :V 44 la (k@(No List 2B@2 Body TextCJXC@X Body Text Indent h0^`0CJ\R@\ Body Text Indent 2 hh^h`CJTS@"T Body Text Indent 3@ ^@ `CJ4@24 MHeader  !4 @B4 MFooter  !X  z z z z z z z z z z z- l# ' ()PQbcrsBR S y ; < E . / 9 23lm,-ST:;knopqrstuvwxy+,\]^_`abcdefgGHIJKLMNOPQRGHI01@ABCDEFGHIJKLM"#3456789:;<=>?@ABCDvwRC}Zlmnopqrs1,-./0123456gIJKLMNOPQRSTU+h!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!+!!!!!!!!!!!!+!!!!+!!!!!!!!!!!!!(]!!!!!!!!!!!!!+!!!!!!!!!!!!!!!+!!!!!!!!!!!!+!!!!!!!!!!!!+!!!!+!!!!!!!!!!!!+!!!!!!!!!!!!+!!!!!!!!!!!!!!+!!!!!!!!!!!!!!!!!(]!!!!!+!!!!!!!!!!!!!!!!!!!!+!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!v:!v:!v: ()PQbcrs,BR S y ; < E . / 9 23lm,-ST:;knopqrstuvwxy+,\]^_`abcdefgGHIJKLMNOPQRGHI01@ABCDEFGHIJKLM"#3456789:;<=>?@ABCDvwRC}Zlmnopqrs1k,-./0123456gIJKLMNOPQRSTU+h0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 00000000000 000000000000 00000000000000000000000000000000000000004v04v04v04v04v04v04v04v0000lvh0 jjjjjmlh@!$%!#'* -p3n "S#$% "$%&()+%Xiks>OQVgi|/@BGXZj{}*,2CEVgio,.  HY[art(*h|~:::::::::::::::::::::::::::::::::8!"@U!U(  F t FON!N " S"HB # # g ?6I?I?Ir Z !N"N $ FON!NHB % # g ??IHB & # g ?7I?I@IHB ' # 1? ''"NHB ( # 1? '!N'HB ) # g ?++@IHB * # g ?*"3"@IHB + # g ?00@IHB , # g ?55@IHB - # g ?::@IHB . # g ?t?|?@IHB / # g ?UD^D@IHB 0 # g ?HQ@IHB 1 # g ?gp@IHB 2 # g ?@IHB 3 # g ?@IHB 4 # g ?  @IHB 5 # g ?@IHB 6 # g ?+"?I4"HB 7 # g ??IHB 8 # g ??IHB 9 # g ?I?IRHB : # g ?h?IqHB ; # g ? ?I HB < # g ?+?I+HB = # g ?0?I0HB > # g ?5?I5HB ? # g ?:?I:HB @ # g ?u??I}?HB A # g ?VD?I_DF t FON!N B S"HB C # g ?6I?I?Ir Z !N"N D FON!NHB E # g ??IHB F # g ?7I?I@IHB G # 1? ''"NHB H # 1? '!N'HB I # g ?++@IHB J # g ?*"3"@IHB K # g ?00@IHB L # g ?55@IHB M # g ?::@IHB N # g ?t?|?@IHB O # g ?UD^D@IHB P # g ?HQ@IHB Q # g ?gp@IHB R # g ?@IHB S # g ?@IHB T # g ?  @IHB U # g ?@IHB V # g ?+"?I4"HB W # g ??IHB X # g ??IHB Y # g ?I?IRHB Z # g ?h?IqHB [ # g ? ?I HB \ # g ?+?I+HB ] # g ?0?I0HB ^ # g ?5?I5HB _ # g ?:?I:HB ` # g ?u??I}?HB a # g ?VD?I_DF t FON!N b S"HB c # g ?6I?I?Ir Z !N"N d FON!NHB e # g ??IHB f # g ?7I?I@IHB g # 1? ''"NHB h # 1? '!N'HB i # g ?++@IHB j # g ?*"3"@IHB k # g ?00@IHB l # g ?55@IHB m # g ?::@IHB n # g ?t?|?@IHB o # g ?UD^D@IHB p # g ?HQ@IHB q # g ?gp@IHB r # g ?@IHB s # g ?@IHB t # g ?  @IHB u # g ?@IHB v # g ?+"?I4"HB w # g ??IHB x # g ??IHB y # g ?I?IRHB z # g ?h?IqHB { # g ? ?I HB | # g ?+?I+HB } # g ?0?I0HB ~ # g ?5?I5HB  # g ?:?I:HB  # g ?u??I}?HB  # g ?VD?I_DF t FON!N  S"HB  # g ?6I?I?Ir Z !N"N  FON!NHB  # g ??IHB  # g ?7I?I@IHB  # 1? ''"NHB  # 1? '!N'HB  # g ?++@IHB  # g ?*"3"@IHB  # g ?00@IHB  # g ?55@IHB  # g ?::@IHB  # g ?t?|?@IHB  # g ?UD^D@IHB  # g ?HQ@IHB  # g ?gp@IHB  # g ?@IHB  # g ?@IHB  # g ?  @IHB  # g ?@IHB  # g ?+"?I4"HB  # g ??IHB  # g ??IHB  # g ?I?IRHB  # g ?h?IqHB  # g ? ?I HB  # g ?+?I+HB  # g ?0?I0HB  # g ?5?I5HB  # g ?:?I:HB  # g ?u??I}?HB  # g ?VD?I_DF t FON!N  S"HB  # g ?6I?I?Ir Z !N"N  FON!NHB  # g ??IHB  # g ?7I?I@IHB  # 1? ''"NHB  # 1? '!N'HB  # g ?++@IHB  # g ?*"3"@IHB  # g ?00@IHB  # g ?55@IHB  # g ?::@IHB  # g ?t?|?@IHB  # g ?UD^D@IHB  # g ?HQ@IHB  # g ?gp@IHB  # g ?@IHB  # g ?@IHB  # g ?  @IHB  # g ?@IHB  # g ?+"?I4"HB  # g ??IHB  # g ??IHB  # g ?I?IRHB  # g ?h?IqHB  # g ? ?I HB  # g ?+?I+HB  # g ?0?I0HB  # g ?5?I5HB  # g ?:?I:HB  # g ?u??I}?HB  # g ?VD?I_DF t FON!N  S"HB  # g ?6I?I?Ir Z !N"N  FON!NHB  # g ??IHB  # g ?7I?I@IHB  # 1? ''"NHB  # 1? '!N'HB  # g ?++@IHB  # g ?*"3"@IHB  # g ?00@IHB  # g ?55@IHB  # g ?::@IHB  # g ?t?|?@IHB  # g ?UD^D@IHB  # g ?HQ@IHB  # g ?gp@IHB  # g ?@IHB  # g ?@IHB  # g ?  @IHB  # g ?@IHB  # g ?+"?I4"HB  # g ??IHB  # g ??IHB  # g ?I?IRHB  # g ?h?IqHB  # g ? ?I HB  # g ?+?I+HB  # g ?0?I0HB  # g ?5?I5HB  # g ?:?I:HB  # g ?u??I}?HB  # g ?VD?I_DF t FON!N  S"HB  # g ?6I?I?Ir Z !N"N  FON!NHB  # g ??IHB  # g ?7I?I@IHB  # 1? ''"NHB  # 1? '!N'HB  # g ?++@IHB  # g ?*"3"@IHB  # g ?00@IHB  # g ?55@IHB  # g ?::@IHB  # g ?t?|?@IHB  # g ?UD^D@IHB  # g ?HQ@IHB  # g ?gp@IHB  # g ?@IHB  # g ?@IHB  # g ?  @IHB  # g ?@IHB  # g ?+"?I4"HB  # g ??IHB  # g ??IHB  # g ?I?IRHB  # g ?h?IqHB  # g ? ?I HB  # g ?+?I+HB  # g ?0?I0HB  # g ?5?I5HB  # g ?:?I:HB  # g ?u??I}?HB  # g ?VD?I_D. t FON!N  S"`B  c $g ?6I?I?IB Z !N"N  FON!N`B  c $g ??I`B  c $g ?7I?I@IlB  01? ''"NlB  01? '!N'`B   c $g ?++@I`B   c $g ?*"3"@I`B   c $g ?00@I`B   c $g ?55@I`B   c $g ?::@I`B  c $g ?t?|?@I`B  c $g ?UD^D@I`B  c $g ?HQ@I`B  c $g ?gp@I`B  c $g ?@I`B  c $g ?@I`B  c $g ?  @I`B  c $g ?@I`B  c $g ?+"?I4"`B  c $g ??I`B  c $g ??I`B  c $g ?I?IR`B  c $g ?h?Iq`B  c $g ? ?I `B  c $g ?+?I+`B  c $g ?0?I0`B  c $g ?5?I5`B  c $g ?:?I:`B   c $g ?u??I}?`B ! c $g ?VD?I_DB S  ?Tkl"XY tb tBhi t> ? th>i? t* + th*i+ t9: t rs,-@BR S w y ; < C E . / 7 9 24@BY_bdln,-SUXos:;>SVy|+,/DGgj.2RVkoGI1@M  #3DH]awNS?D}~V[ls12kl6dFU(,hi`eZ^-R17#)w}SXDg~#[^27!',2il:::::::::::::::::::::::::\2?D_`G40l9|5K@hh^h`56>*CJOJQJo(. @hh^h`56>*CJOJQJo(. @hh^h`56>*CJOJQJo(. _`Gl9|\o(>uM:g@5@@UnknownGz Times New Roman5Symbol3& z Arial"h҆{ҦFfGf 4Gf 4!24dKj'3HX ?:g2 Overview:ITS Rhonda Renker   CompObjq