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Algebra 1
Name___________________________________
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Solving Systems with Elimination
Date________________ Period____
Solve each system by elimination.
1) -9x + 8 y = -8
2x - 8 y = 8
2) 3x + 2 y = 2
-3x - 8 y = 28
3) x + 6 y = -1
2x - 6 y = -20
4) 4x + 10 y = -26
-9x - 10 y = 21
5) 6x + y = -14
-x - y = -1
6) x - 6 y = 18
5x + 6 y = 18
7) -6x - y = 15
4x + y = -7
8) -x + 5 y = 26
x + 3 y = 30
Worksheet by Kuta Software LLC
-1-
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9) -10x + 6 y = -16
5x - 2 y = 2
10) 15x - 2 y = 12
5x - 5 y = 30
Solve each system by substitution.
11) y = 3x
-3x - 6 y = 21
12) y = 6x - 5
2x - 3 y = -1
Solve each system by graphing.
1
13) y = - x + 3
2
3
y=- x+1
2
1
14) y = x - 1
2
y = 3x + 4
y
5
y
5
4
4
3
3
2
2
1
1
-5
-4
-3
-2
-1
1
2
3
4
5 x
-1
-5
-4
-3
-2
-1
1
2
3
4
5 x
-1
-2
-2
-3
-3
-4
-4
-5
-5
Worksheet by Kuta Software LLC
-2-
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Answers to Solving Systems with Elimination
1) (0, -1)
5) (-3, 4)
9) (-2, -6)
13) (-2, 4)
2) (4, -5)
6) (6, -2)
10) (0, -6)
14) (-2, -2)
3) (-7, 1)
7) (-4, 9)
11) (-1, -3)
4) (1, -3)
8) (9, 7)
12) (1, 1)
Worksheet by Kuta Software LLC
-3-
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