# Systems of Two Equations

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Systems of Two Equations
​Date________________ Period____
Solve each system by graphing.
1) ​y ​= −3 ​x ​+ 4
y ​= 3 ​x ​− 2
2) ​y =
​ ​x ​+ 2
​x ​= −3
3) ​x ​− ​y ​= 3
7 ​x ​− ​y ​= −3
4) 4 ​x ​+ ​y ​= 2
​x ​− ​y =
​ 3
Solve each system by substitution.
5) ​y ​= 4 ​x −
​ 9
y ​= ​x ​− 3
6) 4 ​x ​+ 2 ​y =
​ 10
​x ​− ​y ​= 13
7) ​y ​= −5
5 ​x +
​ 4 ​y ​= −20
8) ​x +
​ 7 ​y ​= 0
2 ​x ​− 8 ​y ​= 22
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Worksheet by Kuta Software LLC
Solve each system by substitution.
9) 6 ​x ​+ 8​y ​= −22
y ​= −5
10) −7 ​x ​+ 2 ​y ​= 18
6 ​x ​+ 6 ​y =
​ 0
11) 7 ​x ​+ 2 ​y ​= −19
− ​x ​+ 2 ​y =
​ 21
12) 3 ​x ​− 5 ​y ​= 17
​y ​= −7
13) −7 ​x +
​ 4 ​y =
​ 24
4 ​x −
​ 4 ​y =
​ 0
14) 4 ​x ​− ​y ​= 20
−2 ​x ​− 2 ​y =
​ 10
Solve each system by elimination.
15) 8 ​x ​− 6 ​y ​= −20
−16 ​x +
​ 7 ​y ​= 30
16) 6 ​x ​− 12 ​y ​= 24
− ​x −
​ 6 ​ y ​= 4
17) −8 ​x −
​ 10 ​y ​= 24
18) −24 − 8 ​x ​= 12 ​y
19) −4 ​y −
​ 11 ​x ​= 36
20 = −10 ​x ​− 10 ​y
20) −9 + 5 ​y ​= −4 x​
​−11 ​x ​= −20 + 9 ​y
21) 0 = −2 ​y +
​ 10 − 6 ​x
14 − 22 ​y =
​ 18 ​x
22) −16 ​y =
​ 22 + 6 ​x
​−11 ​y ​− 4 ​x ​= 15
6 ​x +
​ 5 ​y ​= 2
1 + 59 y = -
7
18
x
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