Kuta Software - Infinite Algebra 2
Name___________________________________
Systems of Two Equations
Date________________ Period____
Solve each system by graphing.
1) y = -3 x + 4
y = 3x - 2
-5
-4
-3
-2
2) y = x + 2
x = -3
5
5
4
4
3
3
2
2
1
1
-1 0
-1
1
2
3
4
5
-4
-3
-2
-4
-3
-2
-1 0
-1
-2
-2
-3
-3
-4
-4
-5
-5
3) x - y = 3
7 x - y = -3
-5
-5
1
2
3
4
5
1
2
3
4
5
4) 4 x + y = 2
x- y=3
5
5
4
4
3
3
2
2
1
1
-1 0
-1
1
2
3
4
5
-5
-4
-3
-2
-1 0
-1
-2
-2
-3
-3
-4
-4
-5
-5
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
9) 6 x + 8 y = -22
y = -5
10) -7 x + 2 y = 18
6x + 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
4x - 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
6x + 5 y = 2
18) -24 - 8 x = 12 y
5
7
1+ y=- x
9
18
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
23) -16 + 20 x - 8 y = 0
36 = -18 y - 22 x
24) -
5 11
x = -y
7
7
2 y = 7 + 5x
Critical thinking questions:
25) Write a system of equations with the solution (4, -3).
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Name___________________________________
Systems of Two Equations
Date________________ Period____
Solve each system by graphing.
1) y = -3 x + 4
y = 3x - 2
-5
-4
-3
-2
2) y = x + 2
x = -3
5
5
4
4
3
3
2
2
1
1
-1 0
-1
1
2
3
4
5
-5
-3
-2
-1 0
-1
-2
-3
-3
-4
-4
-5
-5
1
2
3
4
5
1
2
3
4
5
(-3, -1)
3) x - y = 3
7 x - y = -3
-4
-3
-2
(1, 1)
-5
-4
-2
4) 4 x + y = 2
x- y=3
5
5
4
4
3
3
2
2
1
1
-1 0
-1
1
2
3
4
5
-5
-4
-3
-2
-1 0
-1
-2
-2
-3
-3
-4
-4
-5
-5
(-1, -4)
(1, -2)
Solve each system by substitution.
5) y = 4 x - 9
y=x-3
6) 4 x + 2 y = 10
x - y = 13
(2, -1)
(6, -7)
7) y = -5
5 x + 4 y = -20
(0, -5)
8) x + 7 y = 0
2 x - 8 y = 22
(7, -1)
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Worksheet by Kuta Software LLC
9) 6 x + 8 y = -22
y = -5
(3, -5)
11) 7 x + 2 y = -19
- x + 2 y = 21
(-5, 8)
13) -7 x + 4 y = 24
4x - 4 y = 0
(-8, -8)
Solve each system by elimination.
10) -7 x + 2 y = 18
6x + 6 y = 0
(-2, 2)
12) 3 x - 5 y = 17
y = -7
(-6, -7)
14) 4 x - y = 20
-2 x - 2 y = 10
(3, -8)
15) 8 x - 6 y = -20
-16 x + 7 y = 30
16) 6 x - 12 y = 24
-x - 6 y = 4
(-1, 2)
17) -8 x - 10 y = 24
6x + 5 y = 2
(7, -8)
(2, -1)
18) -24 - 8 x = 12 y
5
7
1+ y=- x
9
18
(6, -6)
19) -4 y - 11 x = 36
20 = -10 x - 10 y
20) -9 + 5 y = -4 x
-11 x = -20 + 9 y
(-4, 2)
21) 0 = -2 y + 10 - 6 x
14 - 22 y = 18 x
(1, 1)
22) -16 y = 22 + 6 x
-11 y - 4 x = 15
(2, -1)
23) -16 + 20 x - 8 y = 0
36 = -18 y - 22 x
(-1, -1)
5 11
x = -y
7
7
2 y = 7 + 5x
24) -
(0, -2)
(-3, -4)
Critical thinking questions:
25) Write a system of equations with the solution (4, -3).
Many answers. Ex: x + y = 1, 2 x + y = 5
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
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Worksheet by Kuta Software LLC