Systems of Equations Substitution - Kuta Software

Kuta Software - Infinite Algebra 1

Name___________________________________

Solving Systems of Equations by Substitution

Date________________ Period____

Solve each system by substitution.

1) y = 6 x ? 11

?2 x ? 3 y = ?7

2) 2 x ? 3 y = ?1

y=x?1

3) y = ?3 x + 5

5 x ? 4 y = ?3

4) ?3 x ? 3 y = 3

y = ?5 x ? 17

5) y = ?2

4 x ? 3 y = 18

6) y = 5 x ? 7

?3 x ? 2 y = ?12

7) ?4 x + y = 6

?5 x ? y = 21

8) ?7 x ? 2 y = ?13

x ? 2 y = 11

9) ?5 x + y = ?2

?3 x + 6 y = ?12

10) ?5 x + y = ?3

3 x ? 8 y = 24

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Worksheet by Kuta Software LLC

11) x + 3 y = 1

?3 x ? 3 y = ?15

12) ?3 x ? 8 y = 20

?5 x + y = 19

13) ?3 x + 3 y = 4

?x + y = 3

14) ?3 x + 3 y = 3

?5 x + y = 13

15) 6 x + 6 y = ?6

5 x + y = ?13

16) 2 x + y = 20

6 x ? 5 y = 12

17) ?3 x ? 4 y = 2

3 x + 3 y = ?3

18) ?2 x + 6 y = 6

?7 x + 8 y = ?5

19) ?5 x ? 8 y = 17

2 x ? 7 y = ?17

20) ?2 x ? y = ?9

5 x ? 2 y = 18

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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 = 6 x ? 11

?2 x ? 3 y = ?7

2) 2 x ? 3 y = ?1

y=x?1

(2, 1)

(4, 3)

3) y = ?3 x + 5

5 x ? 4 y = ?3

4) ?3 x ? 3 y = 3

y = ?5 x ? 17

(1, 2)

(?4, 3)

5) y = ?2

4 x ? 3 y = 18

6) y = 5 x ? 7

?3 x ? 2 y = ?12

(3, ?2)

7) ?4 x + y = 6

?5 x ? y = 21

(2, 3)

8) ?7 x ? 2 y = ?13

x ? 2 y = 11

(?3, ?6)

(3, ?4)

9) ?5 x + y = ?2

?3 x + 6 y = ?12

10) ?5 x + y = ?3

3 x ? 8 y = 24

(0, ?2)

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(0, ?3)

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Worksheet by Kuta Software LLC

11) x + 3 y = 1

?3 x ? 3 y = ?15

12) ?3 x ? 8 y = 20

?5 x + y = 19

(7, ?2)

(?4, ?1)

13) ?3 x + 3 y = 4

?x + y = 3

14) ?3 x + 3 y = 3

?5 x + y = 13

(?3, ?2)

No solution

15) 6 x + 6 y = ?6

5 x + y = ?13

16) 2 x + y = 20

6 x ? 5 y = 12

(?3, 2)

17) ?3 x ? 4 y = 2

3 x + 3 y = ?3

(7, 6)

18) ?2 x + 6 y = 6

?7 x + 8 y = ?5

(?2, 1)

19) ?5 x ? 8 y = 17

2 x ? 7 y = ?17

(3, 2)

20) ?2 x ? y = ?9

5 x ? 2 y = 18

(?5, 1)

(4, 1)

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