Kuta Software - Infinite Algebra 1	Name___________________________________

Solving Systems of Equations by Substitution	Date________________ Period____

Solve each system by substitution.

1) y = 6x − 11 −2x − 3y = −7

3) y = −3x + 5 5x − 4y = −3

5) y = −2
4x − 3y = 18

7) −4x + y = 6 −5x − y = 21

9) −5x + y = −2 −3x + 6y = −12

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2) 2x − 3y = −1 y = x − 1

4) −3x − 3y = 3 y = −5x − 17

6) y = 5x − 7
−3x − 2y = −12

8) −7x − 2y = −13 x − 2y = 11

10) −5x + y = −3 3x − 8y = 24

-1-	Worksheet by Kuta Software LLC

11) x + 3y = 1
−3x − 3y = −15

13) −3x + 3y = 4 −x + y = 3

15) 6x + 6y = −6 5x + y = −13

17) −3x − 4y = 2 3x + 3y = −3

19) −5x − 8y = 17 2x − 7y = −17

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12) −3x − 8y = 20 −5x + y = 19

14) −3x + 3y = 3 −5x + y = 13

16) 2x + y = 20 6x − 5y = 12

18) −2x + 6y = 6 −7x + 8y = −5

20) −2x − y = −9 5x − 2y = 18

-2-	Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 1	Name___________________________________

Solving Systems of Equations by Substitution	Date________________ Period____

Solve each system by substitution.

1) y = 6x − 11 −2x − 3y = −7

(2, 1)

3) y = −3x + 5 5x − 4y = −3

(1, 2)

5) y = −2
4x − 3y = 18

(3, −2)

7) −4x + y = 6 −5x − y = 21

(−3, −6)

9) −5x + y = −2 −3x + 6y = −12

(0, −2)

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2) 2x − 3y = −1 y = x − 1

(4, 3)

4) −3x − 3y = 3 y = −5x − 17

(−4, 3)

6) y = 5x − 7
−3x − 2y = −12

(2, 3)

8) −7x − 2y = −13 x − 2y = 11

(3, −4)

10) −5x + y = −3 3x − 8y = 24

(0, −3)

-1-	Worksheet by Kuta Software LLC

11) x + 3y = 1
−3x − 3y = −15

(7, −2)

13) −3x + 3y = 4 −x + y = 3

No solution

15) 6x + 6y = −6 5x + y = −13

(−3, 2)

17) −3x − 4y = 2 3x + 3y = −3

(−2, 1)

19) −5x − 8y = 17 2x − 7y = −17

(−5, 1)

12) −3x − 8y = 20 −5x + y = 19

(−4, −1)

14) −3x + 3y = 3 −5x + y = 13

(−3, −2)

16) 2x + y = 20 6x − 5y = 12

(7, 6)

18) −2x + 6y = 6 −7x + 8y = −5

(3, 2)

20) −2x − y = −9 5x − 2y = 18

(4, 1)

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