ID: 1
Algebra 2 - Task 8.5
Name___________________________________
Solving Systems of Linear Equations
Date________________ Period____
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Solve each system by substitution.
1) x + y = −2
2x − 4 y = 2
2) 3 x + 3 y = 0
5 x + y = −4
3) 5 x + 4 y = 5
3x − 5 y = 3
4) −5 x − 5 y = 15
7 x − 6 y = −8
Solve each system by elimination.
5) 12 x − 7 y = 5
−6 x + 3 y = −3
6) −12 x + 18 y = 24
4 x − 6 y = −8
7) −7 x + 2 y = 22
−3 x − 5 y = 27
8) 9 x + 8 y = 4
7 x + 5 y = −3
Solve each system by graphing.
9) y = 4 x + 2
y = −2 x − 4
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10) 3 x − y = 1
2x + y = 4
Worksheet by Kuta Software LLC
ID: 1
Algebra 2 - Task 8.5
Name___________________________________
Solving Systems of Linear Equations
Date________________ Period____
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Solve each system by substitution.
1) x + y = −2
2x − 4 y = 2
(−1, −1)
2) 3 x + 3 y = 0
5 x + y = −4
(−1, 1)
3) 5 x + 4 y = 5
3x − 5 y = 3
(1, 0)
4) −5 x − 5 y = 15
7 x − 6 y = −8
(−2, −1)
Solve each system by elimination.
5) 12 x − 7 y = 5
−6 x + 3 y = −3
(1, 1)
6) −12 x + 18 y = 24
4 x − 6 y = −8
Infinite number of solutions
7) −7 x + 2 y = 22
−3 x − 5 y = 27
(−4, −3)
8) 9 x + 8 y = 4
7 x + 5 y = −3
(−4, 5)
Solve each system by graphing.
9) y = 4 x + 2
y = −2 x − 4
(−1, −2)
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10) 3 x − y = 1
2x + y = 4
(1, 2)
Worksheet by Kuta Software LLC
ID: 2
Algebra 2 - Task 8.5
Name___________________________________
Solving Systems of Linear Equations
Date________________ Period____
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Solve each system by substitution.
1) −4 x + y = −17
4 x − y = 17
2) x − 2 y = 14
3 x − 6 y = 42
3) 6 x + 8 y = 12
− x − 4 y = −2
4) 3 x − 3 y = 12
−6 x + 2 y = −16
Solve each system by elimination.
5) −10 x − 2 y = −26
5x − y = 7
6) 7 x + 7 y = −7
14 x − 2 y = 18
7) −10 x − 5 y = −15
9 x + 7 y = 21
8) 10 x − 8 y = 26
6 x − 3 y = 30
Solve each system by graphing.
1
x−3
2
y = 3x + 2
9) y =
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10) 4 x + y = 3
3x − y = 4
Worksheet by Kuta Software LLC
ID: 2
Algebra 2 - Task 8.5
Name___________________________________
Solving Systems of Linear Equations
Date________________ Period____
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Solve each system by substitution.
1) −4 x + y = −17
4 x − y = 17
Infinite number of solutions
2) x − 2 y = 14
3 x − 6 y = 42
Infinite number of solutions
3) 6 x + 8 y = 12
− x − 4 y = −2
(2, 0)
Solve each system by elimination.
4) 3 x − 3 y = 12
−6 x + 2 y = −16
(2, −2)
5) −10 x − 2 y = −26
5x − y = 7
(2, 3)
7) −10 x − 5 y = −15
9 x + 7 y = 21
(0, 3)
Solve each system by graphing.
6) 7 x + 7 y = −7
14 x − 2 y = 18
(1, −2)
8) 10 x − 8 y = 26
6 x − 3 y = 30
(9, 8)
1
x−3
2
y = 3x + 2
(−2, −4)
9) y =
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10) 4 x + y = 3
3x − y = 4
(1, −1)
Worksheet by Kuta Software LLC