To review these concepts, go to Solving Systems of Equations Algebraically Study Guide.
Practice
Solve the systems of equations using the elimination method.

3x + 4 y = 8
–3x + y = 12

4x – 2y = –5
–x + 2y = 2

–5x + 2y = 10
5x – 3y = –10

4x + 2y = 12
–4x + y = 3

2x – 3y = 9
x + 3y = 0

2x – y = 2
–2x + 4y = –5

x + y = 4
2x – y = –1

3x + 4y = 17
–x + 2y = 1

7x + 3y = 11
2x + y = 3

0.5x + 5y = 28
3x –y = 13

3(x + y) = 18
5x + y = –2

2x –y = 17

5x + 8y = 25
3x – 15 =y

6y + 3x = 30
2y + 6x = 0

3x = 5 – 7y
2y =x – 6

3x + y = 20

2x + 7y = 45
3x + 4y = 22

3x – 5y = –21
2(2y – x) = 16
Solve the systems of equations using the elimination method.

2x + 4y = 10
–3x + 3y = –6

–4x – 5y = –12
8x – 3y = –28

7x – 7y = –7
21x – 21y = –21

5x – 5y = 5

8x – 4y = 16
4x + 5y = 22

5x – 3y = 31
2x + 5y = 0

3x – 4y = 6
–5x + 6y = –8

6x – 2y = –6
–5x + 5y = 5

–5x + 2y = 10
3x + 6y = 66

2x + 2 = 3y –x – 4
5x + 2y + 1 = 5

x = 3y + 6
3x = 6y – 15

3x + 2y = x – 6
3(x + 2y) = 3
25x – 25y = 25
Solve the systems of equations using the substitution method.

x = 2y
4x + y = 12

y = 2x
3x + 6y = 30

y = 4x – 1
6x – 2y = 28

y = 2x + 1
3x + 2y = 9

x = 2y + 1
3x – y = 13

y = 3x + 2
2x – 3y = 8

y = 5x
4x + 5y = 87

x + y = 3
3x + 101 = 7y

5x + y = 3.6
y + 21x = 8.4

8x – y = 0
10x + y = 27

y + 3x = 0
y – 3x = 24

2x + y = 2 – 5y
x – y = 5

x + 6y = 11
x – 3 = 2y

4y + 31 = 3x
y + 10 = 3x
Mixed Practice
Solve the systems of equations using any method.

x + 2y = 10
2x – 2y = –4

y = –6x
2x – y = 16

4x + 2y = 18
3x – y = 1

x = 5y – 2
2x – y = 14

3x + 7y = 4
6x + 2y = –4

2x – 5y = 10
3x + 2y = –4

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