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Example 1 Solution by Elimination Chapter 7.1 Solve the system  2009 PBLPathways.

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Presentation on theme: "Example 1 Solution by Elimination Chapter 7.1 Solve the system  2009 PBLPathways."— Presentation transcript:

1 example 1 Solution by Elimination Chapter 7.1 Solve the system  2009 PBLPathways

2 Solve the system

3  2009 PBLPathways Solve the system 1.If necessary, interchange two equations or use multiplication to make the coefficient of x in the first equation a 1. E1  E2

4  2009 PBLPathways Solve the system 2.Add a multiple of the first equation to each of the following equations so that the coefficients of x in the second and third equations become 0. -2 R1 + R2  R2

5  2009 PBLPathways Solve the system 2.Add a multiple of the first equation to each of the following equations so that the coefficients of x in the second and third equations become 0. -2 E1 + E2  E2

6  2009 PBLPathways Solve the system 2.Add a multiple of the first equation to each of the following equations so that the coefficients of x in the second and third equations become 0. -2 E1 + E2  E2

7  2009 PBLPathways Solve the system 2.Add a multiple of the first equation to each of the following equations so that the coefficients of x in the second and third equations become 0. -3 R1 + R3  R3

8  2009 PBLPathways Solve the system 2.Add a multiple of the first equation to each of the following equations so that the coefficients of x in the second and third equations become 0. -3 E1 + E3  E3

9  2009 PBLPathways Solve the system 2.Add a multiple of the first equation to each of the following equations so that the coefficients of x in the second and third equations become 0. -3 E1 + E3  E3

10  2009 PBLPathways Solve the system 2.Add a multiple of the first equation to each of the following equations so that the coefficients of x in the second and third equations become 0. -3 E1 + E3  E3

11  2009 PBLPathways Solve the system 3.Multiply (or divide) both sides of the second equation by a number that makes the coefficient of y in the second equation equal to 1. -1 R2  R2

12  2009 PBLPathways Solve the system 3.Multiply (or divide) both sides of the second equation by a number that makes the coefficient of y in the second equation equal to 1. -1 E2  E2

13  2009 PBLPathways Solve the system 3.Multiply (or divide) both sides of the second equation by a number that makes the coefficient of y in the second equation equal to 1. -1 E2  E2

14  2009 PBLPathways Solve the system 4.Add a multiple of the (new) second equation to the (new) third equation so that the coefficient of y in the newest third equation becomes 0. -4 R2 + R3  R3

15  2009 PBLPathways Solve the system 4.Add a multiple of the (new) second equation to the (new) third equation so that the coefficient of y in the newest third equation becomes 0. -4 E2 + E3  E3

16  2009 PBLPathways Solve the system 4.Add a multiple of the (new) second equation to the (new) third equation so that the coefficient of y in the newest third equation becomes 0. -4 E2 + E3  E3

17  2009 PBLPathways Solve the system 4.Add a multiple of the (new) second equation to the (new) third equation so that the coefficient of y in the newest third equation becomes 0. -4 E2 + E3  E3

18  2009 PBLPathways Solve the system 5.Multiply (or divide) both sides of the third equation by a number that makes the coefficient of z in the third equation equal to 1. This gives the solution for z in the system of equations. E3  E3

19  2009 PBLPathways Solve the system 5.Multiply (or divide) both sides of the third equation by a number that makes the coefficient of z in the third equation equal to 1. This gives the solution for z in the system of equations. E3  E3

20  2009 PBLPathways Solve the system 6.Use the solution for z to solve for y in the second equation. Then substitute values for y and z to solve for x in the first equation.

21  2009 PBLPathways Solve the system 6.Use the solution for z to solve for y in the second equation. Then substitute values for y and z to solve for x in the first equation.

22  2009 PBLPathways Solve the system 6.Use the solution for z to solve for y in the second equation. Then substitute values for y and z to solve for x in the first equation.

23  2009 PBLPathways Solve the system 6.Use the solution for z to solve for y in the second equation. Then substitute values for y and z to solve for x in the first equation.

24  2009 PBLPathways Solve the system 6.Use the solution for z to solve for y in the second equation. Then substitute values for y and z to solve for x in the first equation.

25  2009 PBLPathways Solve the system 6.Use the solution for z to solve for y in the second equation. Then substitute values for y and z to solve for x in the first equation.

26  2009 PBLPathways Solve the system 6.Use the solution for z to solve for y in the second equation. Then substitute values for y and z to solve for x in the first equation.

27  2009 PBLPathways Solve the system 6.Use the solution for z to solve for y in the second equation. Then substitute values for y and z to solve for x in the first equation.

28  2009 PBLPathways Solve the system 6.Use the solution for z to solve for y in the second equation. Then substitute values for y and z to solve for x in the first equation.

29  2009 PBLPathways Does the solution solve the system? Solve the system

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