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Algebra 2
Solving Systems of Equations by Substitution or Elimination
Name___________________________________
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-1-
Solve each system by elimination.
1) x - 7 y = 18
4x - 14 y = 30
2) 9x + 3 y = -15
-18x - 6 y = 30
3) 6x - 12 y = 0
x - 6 y = 4
4) 18x + 4 y = -4
-9x + 8 y = -8
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Worksheet by Kuta Software LLC
-2-
5) -2x + 7 y = 4
-5x - 9 y = 10
6) 4x - 5 y = 14
-6x + 6 y = -6
7) 6x + 10 y = 20
4x - 6 y = 26
8) 4x + 5 y = -7
-5x - 3 y = -1
Solve each system by substitution.
9) y = -2x + 6
8x - 3 y = -4
10) y = 5x + 9
4x + 6 y = 20
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-3-
11) y = x + 5
-2x + 7 y = 20
12) y = -3x + 15
-x - y = -9
13) y = -2x + 7
y = -4x + 15
14) y = 2x + 2
y = 5x - 7
15) 6x + 2 y = -6
x + 5 y = -15
16) -3x + y = 0
-2x - 7 y = -23
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Worksheet by Kuta Software LLC
-4-
17) x - 2 y = -3
8x - 6 y = 16
18) -2x - 2 y = 20
x - 7 y = 14
19) -2x - 5 y = 16
2x - 3 y = -16
20) -5x + 2 y = 11
-3x + 4 y = -13
21) -7x - 5 y = -8
8x - 3 y = -17
22) 2x - 3 y = 18
5x - 3 y = 9
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Worksheet by Kuta Software LLC
-5-
Answers to Solving Systems of Equations by Substitution or Elimination
1)
(
-3, -3
)
2) Infinite number of solutions
3)
(
-2, -1
)
4)
(
0, -1
)
5)
(
-2, 0
)
6)
(
-9, -10
)
7)
(
5, -1
)
8)
(
2, -3
)
9)
(
1, 4
)
10)
(
-1, 4
)
11)
(
-3, 2
)
12)
(
3, 6
)
13)
(
4, -1
)
14)
(
3, 8
)
15)
(
0, -3
)
16)
(
1, 3
)
17)
(
5, 4
)
18)
(
-7, -3
)
19)
(
-8, 0
)
20)
(
-5, -7
)
21)
(
-1, 3
)
22)
(
-3, -8
)