Systems of Equations Worksheet

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Systems of Equations Worksheet

Name:Date:Class:

1.Solve the system:

- 5 x - 2 y = - 32

and

- 3 x + 2 y = 0

2.Solve the system:

6 x + 6 y = 48

and

x + 2 y = 13

3.Solve the system:

- 4 x + 4 y = - 24

and

- 2 x + y = - 6

4.Solve the system:

- x + 2 y = 5

and

4 x - 5 y = - 11

5.Solve the system:

- 3 x - 6 y = 42

and

6 x + 6 y = - 48

6.Solve the system:

2 x + 3 y = - 16

and

5 x - 6 y = 41

7.Solve the system:

5 x + 4 y = - 1

and

- 6 x - 2 y = - 10

8.Solve the system:

2 x - 2 y = 12

and

- 3 x - 4 y = - 18

9.Solve the system:

3 x + 6 y = 36

and

- 3 x + 4 y = 4

10.Solve the system:

- x + 6 y = 3

and

- 6 x + 5 y = - 13

11.Solve the system:

6 x + 2 y = 16

and

- 3 x + 3 y = - 12

12.Solve the system:

6 x + 6 y = - 24

and

- 3 x + 2 y = 7

13.Solve the system:

5 x + 2 y = 5

and

2 x - y = 2

14.Solve the system:

5 x + 3 y = 24

and

- 3 x - 4 y = - 21

15.Solve the system:

- x - 4 y = 7

and

- 6 x + 4 y = - 42

16.Solve the system:

- 4 x + 4 y = 8

and

- 6 x + 3 y = 9

17.Solve the system:

5 x + y = - 7

and

4 x + 2 y = - 2

18.Solve the system:

6 x - 5 y = - 6

and

5 x + y = 26

19.Solve the system:

5 x - 4 y = 28

and

5 x + 2 y = 16

20.Solve the system:

3 x + 4 y = - 1

and

- 4 x - 4 y = - 4

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Worked Example

Problem: Solve: y = 2x + 1 and 3x + y = 16

3x + (2x + 1) = 16— Substitute y = 2x + 1 into the second equation.
5x + 1 = 16— Combine like terms.
x = 3, then y = 2(3) + 1 = 7— Solve for x, then back-substitute.

Answer: (3, 7)

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