Systems of Linear Equations

Accelerated Math 7

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Systems of Linear Equations ©N Q25011l58 bK4uUt1al KSMolf4towEalrEep MLELGC5.R 1 6AAlRlx Drqi3gPhFtYs3 Yrje2s6eorNv3eadI.c

Solve each system by elimination. 1) 3 x − 2 y = 4 x + 2 y = 12

2) −3 x + 2 y = 11 3 x − y = −13

3) −2 x + 4 y = 8 −6 x − 4 y = 8

4) −6 x + 2 y = 6 6 x − 5 y = −6

Solve each system by substitution. 5) 4 x − 2 y = 10 y = −6 x + 11

6) y = 4 x + 20 −2 x − 3 y = 24

7) −4 x + 2 y = −12 y = 6 x − 14

8) y = 4 x + 10 −x + 2 y = 6

Use graphing to find the x-coordinate of the solution to each system. 2 x+4 3 y = −x − 1

3 10) y = − x + 2 2 1 y=− x−2 2

9) y =

y 5

−5

−4

−3

−2

y

4

5

3

4

2

3

1

2

−1

1

2

3

4

1

5 x

−1 −5

−4

−3

−2

−1

1

−2

−1

−3

−2

−4

−3

−5

−4

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2

3

4

5 x

−5

Worksheet by Kuta Software LLC

Answers to Systems of Linear Equations 1) (4, 4) 5) (2, −1) 9) −3

2) (−5, −2) 6) (−6, −4) 10) 4

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3) (−2, 1) 7) (2, −2)

4) (−1, 0) 8) (−2, 2)

Worksheet by Kuta Software LLC