3x 2y 2 x 4y 3
[DOC File]SIMULTANEOUS EQUATIONS
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3x + 2y = 8. x – 4y = -2 . The equations above are equations of straight lines. Hence we can draw the two lines on the same graph page and find their point of intersection. The co-ordinates of this point of intersection will provide the solutions to the simultaneous equations.
[DOC File]Systems of Equations - Linear Combination
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14. x + 3y = 2. 2x + 3y = 7. 15. 3x – 2y = 5. x + 2y = 15. 16. m – 4n = -5. m = 2n – 4 Set up a system of equations for each problem and then solve using substitution or linear combination. 17. Kelly has 24 dimes and quarters worth $3.60. How many quarters does she have? 18. The length of a rectangle is 5 cm less than 3 times its width.
[DOC File]Worksheet Linear System of Equations
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Worksheet Linear System of Equations Name _____ Describe the type of system of equations each system is. How do you know it is? 1. y = -2x + 1 2x + y = -3
[DOCX File]www.math.drexel.edu
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x-2y+3z=1 44. The president of Sam’s Supermarkets plans to hire two public relations firms to survey 500 customers by phone, 750 by mail, and 250 by in person interviews.
[DOC File]Algebra Review
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x +2y –8 6. 11m –7n +13. 3x –4y +9 3m –8n –21. 4x –2y +1 14m –15n –8. Subtract the two expressions in each problem. 7. x +2y –8 8. 11m –7n +13 – (3x –4y +9) –(3m –8n –21) –2x +6y –17 8m +n +34. 9. 10a –17b +24c; 13a +14b –16c = –3a –31b +40c.
[DOC File]Revision Exercises
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Equation 2: (x-y+z = 3) multiplied by 2. 2x-2y+2z = 6. 2x = 6+2y-2z. STEP 2: Substitute value of eq1 for eq2-5-2y+5z = 6+2y-2z. STEP 3: Collect the terms-2y+5z-2y+2z = 6+5-4y+7z = 11. 1 equation in 2 unknowns. Repeat procedure for 2 other equations. STEP 1: Express in terms of same value of one variable (-3x) Equation 2: (x-y+z = 3) multiplied ...
[DOC File]Simplify:
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is writing the polynomial from the highest exponent to the lowest exponent. Degree. of the polynomial is the highest exponent from all terms. a) Write each polynomial in standard form: …
[DOC File]The Mild and Wild Amusement Park
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4d – e + 2f = -3-3d + e + 2f = 5 6. 2x – 5y + z = 5. 3x + 2y – z = 17. 4x – 3y + 2z = 17. 7. x – 4y + 3z = -27. 2x + 2y – 3z = 22. 4z = -16 8. a + b = 3-b + c = 3. a + 2c = 10 9. p + 4r = -7. p – 3q = -8. q + r = 1 10. w – 5x + 2y – z = -18. 3w + x – 3y + 2z = 17. 4w – 2x + y – z = -1-2w + 3x – y + 4z = 11. Part 2: The ...
[DOC File]MAT 117 - Arizona State University
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x – 4y + 2z = -1 x – 2y + 3z = 6. 4x + y – z = 3 –6x + 12y – 18z = –36. 10) x + 4y + 3z = 8 13) 4x + y = 7. x + 8y + 6z = 10 y – 5z = 5 . 2x + 12y + 9z = 18 x + 2y – z = -5. 11) 3x + 6y + 9z = 14 14) x + 2z = 1. x + 2y + 3z = 11 2x + y + 7z = 6. 2x + 4y + 6z = 13 x + y + 5z = 5. Solutions to Practice 10 (revision 0) 1) (-3, 2) 2 ...
[DOC File]ALGEBRA 2 X - Tredyffrin/Easttown School District
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3x + 2y = 0 (Be sure to get the x and y on the same side of the equation.) y = -6x + 9. Try this one on your own: 3x + y = 15. 3x – 2y = 6. Two Special Cases. Case #1 x + y = 5. 3x + 3y = 7 Set up the Augmented Matrix. Multiply 3 times Row 1 Row 2 – Row 1 replaces row 2 The second row translates to 0 + 0 = 8 which is a contradiction.
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