Systems of Equations Substitution - Kuta Software

Kuta Software - Infinite Algebra 1 Name___________________________________
Solving Systems of Equations by Substitution
Solve each system by substitution.
1)
3)
5)
7)
9)
y = 6x
− 11
−2x
− 3y
= −7
y = −3x
+ 5
5x
− 4y
= −3
y = −2
4x
− 3y
= 18
−4x
+ y = 6
−5x
− y = 21
−5x
+ y = −2
−3x
+ 6y
= −12
Date________________
Period____
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2)
4)
6)
8)
10)
-1-
2x
− 3y
= −1
y = x − 1
−3x
− 3y
= 3
y = −5x
− 17
y = 5x
− 7
−3x
− 2y
= −12
−7x
− 2y
= −13
x − 2y
= 11
−5x
+ y = −3
3x
− 8y
= 24

11)
13)
15)
17)
19)
x + 3y
= 1
−3x
− 3y
= −15
−3x
+ 3y
= 4
−x
+ y = 3
6x
+ 6y
= −6
5x
+ y = −13
−3x
− 4y
= 2
3x
+ 3y
= −3
−5x
− 8y
= 17
2x
− 7y
= −17
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12)
14)
16)
18)
20)
-2-
−3x
− 8y
= 20
−5x
+ y = 19
−3x
+ 3y
= 3
−5x
+ y = 13
2x
+ y = 20
6x
− 5y
= 12
−2x
+ 6y
= 6
−7x
+ 8y
= −5
−2x
− y = −9
5x
− 2y
= 18

Kuta Software - Infinite Algebra 1 Name___________________________________
Solving Systems of Equations by Substitution
Solve each system by substitution.
1)
3)
5)
7)
9)
y = 6x
− 11
−2x
− 3y
= −7
(2, 1)
y = −3x
+ 5
5x
− 4y
= −3
(1, 2)
y = −2
4x
− 3y
= 18
(3, −2)
−4x
+ y = 6
−5x
− y = 21
(−3, −6)
−5x
+ y = −2
−3x
+ 6y
= −12
(0, −2)
Date________________
Period____
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2)
4)
6)
8)
10)
-1-
2x
− 3y
= −1
y = x − 1
(4, 3)
−3x
− 3y
= 3
y = −5x
− 17
(−4, 3)
y = 5x
− 7
−3x
− 2y
= −12
(2, 3)
−7x
− 2y
= −13
x − 2y
= 11
(3, −4)
−5x
+ y = −3
3x
− 8y
= 24
(0, −3)

11)
13)
15)
17)
19)
x + 3y
= 1
−3x
− 3y
= −15
(7, −2)
−3x
+ 3y
= 4
−x
+ y = 3
No solution
6x
+ 6y
= −6
5x
+ y = −13
(−3, 2)
−3x
− 4y
= 2
3x
+ 3y
= −3
(−2, 1)
−5x
− 8y
= 17
2x
− 7y
= −17
(−5, 1)
-2-
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12)
14)
16)
18)
20)
−3x
− 8y
= 20
−5x
+ y = 19
(−4, −1)
−3x
+ 3y
= 3
−5x
+ y = 13
(−3, −2)
2x
+ y = 20
6x
− 5y
= 12
(7, 6)
−2x
+ 6y
= 6
−7x
+ 8y
= −5
(3, 2)
−2x
− y = −9
5x
− 2y
= 18
(4, 1)
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