Solve system of equations by substitution

    • [PDF File]Algebra 1 - Clark - Systems of Equations - Substitution

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      Systems of Equations - Substitution Solve each system by substitution. 1) y = 2x + 7 3x − 4y = −13 (−3, 1) 2) y = −8x − 24 6x + 6y = 24 (−4, 8) 3) −4x + 8y = −12 y = 5x + 21 (−5, −4) 4) y = −4x − 11 3x + 7y = −2 (−3, 1) 5) −4x − 2y = 8 −2x + y = 20 (−6, 8) 6) −3x + 5y = −4 −x + y = 0 (−2, −2)-1-

    • [PDF File]WS 6.2A Solving Systems by Substitution isolated

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      Solve each system by substitution. Steps 1) Solve one of the equations for x or y. • This is already done for you for this section. 2) Substitute the expression into the other equation and solve for the variable. 3) Once you solved one for one of the variables, plug this solution into one of the original equations and solve for the other ...

    • [PDF File]Systems of Equations by Substitution

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      Solving Systems of Equations by Substitution Date_____ Period____ Solve each system by substitution. 1) y = 7x − 10 y = −3 (1, −3) 2) y = −8 y = −2x − 12 (−2, −8) 3) y = 6x y = 5x + 7 (7, 42) 4) y = 9x − 9 y = 9 (2, 9) 5) y = −4 y = x − 8 (4, −4) 6) y = 8x − 9 y = 7 (2, 7) 7) y = 6x − 14 y = −8x (1, −8) 8) y = 2x ...

    • [PDF File]4.2 Systems of Equations - Substitution

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      Systems of Equations - Substitution Objective: Solve systems of equations using substitution. When solving a system by graphing has several limitations. First, it requires the graph to be perfectly drawn, if the lines are not straight we may arrive at the wrong answer. Second, graphing is not a great method to use if the answer is

    • [PDF File]SOLVING SYSTEMS OF EQUATIONS

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      There are two methods to solve systems of equations: substitution and elimination. • With substitution, we solve one equation for a select variable in terms of the other variable. Then, that select variable is replaced in the other equation giving us an equation with just one variable. • With elimination, we use one equation to eliminate a

    • [PDF File]LESSON Reteach Solving Systems by Substitution

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      You can use substitution to solve a system of equations if one of the equations is already solved for a variable. Solve { y " x # 2 3x # y " 10 Step 1: Choose the equation to use as the substitute. Use the first equation y ! x # 2 because it is already solved for a variable. Step 2: Solve by substitution. 3x # y ! 10

    • [PDF File]5.2 Solving Systems of Linear Equations by Substitution

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      210 Chapter 5 Systems of Linear Equations 5.2 Lesson Lesson Tutorials Another way to solve systems of linear equations is to use substitution. EXAMPLE 1 Solving a System of Linear Equations by Substitution Solve the system by substitution. y = 2x − 4 Equation 1 7x − 2y = 5 Equation 2 Step 1: Equation 1 is already solved for y. Step 2: Substitute 2x − 4 for y in Equation 2.

    • [PDF File]Solving Systems by Substitution

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      Solving Systems by Substitution Solve the system by substitution. Example 1A: Solving a System of Linear Equations by Substitution y = 3x y = x – 2 Step 1 y = 3x y = x – 2 Both equations are solved for y. Step 2 y = x – 2 3x = x – 2 Substitute 3x for y in the second equation. Solve for x. Subtract x from both sides and then divide by 2.

    • [PDF File]Systems of Equations Substitution

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      Solving Systems of Equations by Substitution Date_____ Period____ Solve each system by substitution. 1) y = 6x − 11 −2x − 3y = −7 (2, 1) 2) 2x − 3y = −1 y = x − 1 (4, 3) 3) y = −3x + 5 5x − 4y = −3 (1, 2) 4) −3x − 3y = 3 y = −5x − 17 (−4, 3) 5) y = −2 4x − 3y = 18 (3, −2) 6) y = 5x − 7 −3x − 2y = −12 ...

    • [PDF File]System of equations - Purdue University

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      16-week Lesson 35 (8-week Lesson 29) Method of Substitution 1 System of equations: - two or more equations containing common variables o Example: { 2− = { + =− u o just like in the example shown, the variables will not always be of the same degree; be aware of this when making substitutions

    • [PDF File]Section 2.2: Solving Systems of Equations by Substitution

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      Solve the system of equations by using substitution. x y 5 Find the lone variable: xy 1 x or in first, or in second. We will chose in the first 5 5 xy xy yy Solve for the lone variable; subtract from both sides Plug into the untouched equation, the second equation (5 - y) y 1 Solve (parentheses are not needed here); combine like terms 5 2 1 55

    • [PDF File]Solving Systems of Linear Equations by Substitution

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      Steps to solve linear system by substitution: 1. Solve one of the equations for one of its variable. 2. Substitute the expression for the variable found in step 1 into the other equation. 3. Solve the equation found in step 2 to find the value of one variable. 4.

    • [PDF File]Solving a System of Linear Equations by Substitution

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      Example 2 Infinitely Many or No Solutions Use substitution to solve the system of equations. y = -x + 3 2x + 2y = 6 Since y = -x + 3, substitute –x + 3 for y in the second equation. 2x + 2y = 6 Second equation 2x + 2(-x + 3) = 6 y = -x + 3 2x + -2x + 6 = 6 Distributive Property 6 = 6 Simplify. The statement 6 = 6 is true. So there are infinitely many solutions.

    • [PDF File]Solving Systems of Equations by Substitution

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      equations within the system of equations. We can solve a system of equations by substitution, by elimination, or graphically. We will look at the substitution method in this section . Substitution Method. In the substitution method, we start with one equation in the system and solve for one variable in terms of the other variable.

    • [PDF File]Systems of Equations Substitution Addition/Elimination ...

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      Systems of Equations There are 3 methods to solving a system of equations: Graphing Substitution Addition/Elimination Method Solving by Graphing: 1. Solve the first equation for y -> put it in the form y = mx + b a. If the line is already solved for y, skip right down to step 2 2. Graph the line for the first equation 3.

    • [PDF File]Practice: Solving Systems of Equations (3 Different ...

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      Practice: Solving Systems of Equations (3 Different Methods) Date_____ Solve each system by substitution. 1) −21 x − 3y = 7 7x + y = 3 2) 8x + 4y = −24 5x + y = −18 3) x − 2y = 10 8x + 2y = 8 4) x + 3y = −7 8x + 7y = −5 Solve each system by elimination. 5) 6x − 2y = 8 12x − 6y = 18 6) −5x − y = 14 −10x + 5y = 0

    • [PDF File]Solving Systems Of Equations Using Substitution

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      We can explain the significance of a solution to a system of two equations in two variables and what it represents in real-world situations. Success Criteria We can solve a system of equations in two variables by using substitution and understand that the solution corresponds to a point of intersection.

    • [PDF File]SOLVING SYSTEMS OF EQUATIONS ALGEBRAICALLY (Solving ...

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      SOLVING SYSTEMS OF EQUATIONS 3 ALGEBRAICALLY (BY SUBSTITUTION AND ELIMINATION) INTRODUCTION By system of equation we mean the system having more than one equation. A system of simultaneous equations is a group of equations that must be all true at the same time. By solution of equation we mean the values which satisfy the given system of equations.

    • [PDF File]Systems of Equations: Substitution Date Period

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      Systems of Equations: Substitution Solve each system by substitution. 1) y = 2x + 2 y = 0 2) y = x − 6 y = 8x + 1 3) y = −2x + 4 y = 6x − 20 4) y = 8 y = x + 1 5) y = x − 5 y = −7x + 11 6) 4x − 4y = 0 y = 2x + 6 7) y = −3x − 19 5x + 8y = 0 8) y = 5x − 3

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