Systems of Two Equations - Kuta Software
[Pages:4]Kuta Software - Infinite Algebra 2
Systems of Two Equations
Solve each system by graphing.
1) y = -3x + 4 y = 3x - 2
5 4 3 2 1
-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5
12345
3) x - y = 3 7x - y = -3
5 4 3 2 1
-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5
12345
Solve each system by substitution.
5) y = 4x - 9 y = x - 3
7) y = -5 5x + 4 y = -20
Name___________________________________ Date________________ Period____
2) y = x + 2 x = -3
5 4 3 2 1
-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5
12345
4) 4x + y = 2 x- y=3
5 4 3 2 1
-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5
12345
6) 4x + 2y = 10 x - y = 13
8) x + 7 y = 0 2x - 8y = 22
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Worksheet by Kuta Software LLC
9) 6x + 8 y = -22 y = -5
11) 7x + 2 y = -19 -x + 2 y = 21
13) -7x + 4 y = 24 4x - 4y = 0
Solve each system by elimination. 15) 8x - 6 y = -20
-16x + 7 y = 30
17) -8x - 10 y = 24 6x + 5y = 2
19) -4 y - 11x = 36 20 = -10x - 10 y
10) -7x + 2y = 18 6x + 6y = 0
12) 3x - 5y = 17 y = -7
14) 4x - y = 20 -2x - 2y = 10
16) 6x - 12 y = 24 -x - 6y = 4
18) -24 - 8x = 12 y
5
7
1+ y=- x
9 18
20) -9 + 5 y = -4x -11x = -20 + 9 y
21) 0 = -2 y + 10 - 6x 14 - 22 y = 18x
22) -16y = 22 + 6x -11 y - 4x = 15
23) -16 + 20x - 8 y = 0 36 = -18 y - 22x
5 11 24) - - x = - y
7 7 2y = 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
Systems of Two Equations
Solve each system by graphing.
1) y = -3x + 4 y = 3x - 2
5 4 3 2 1
-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5
12345
(1, 1)
3) x - y = 3 7x - y = -3
5 4 3 2 1
-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5
12345
(-1, -4)
Solve each system by substitution.
5) y = 4x - 9 y = x - 3
(2, -1)
7) y = -5
5x + 4 y = -20
(0, -5)
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Name___________________________________ Date________________ Period____
2) y = x + 2 x = -3
5 4 3 2 1
-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5
12345
(-3, -1)
4) 4x + y = 2 x- y=3
5 4 3 2 1
-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5
12345
(1, -2)
6) 4x + 2y = 10 x - y = 13
(6, -7)
8) x + 7 y = 0 2x - 8y = 22
(7, -1)
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Worksheet by Kuta Software LLC
9) 6x + 8 y = -22 y = -5
(3, -5)
11) 7x + 2 y = -19 -x + 2 y = 21
(-5, 8)
13) -7x + 4 y = 24 4x - 4y = 0
(-8, -8)
Solve each system by elimination.
15) 8x - 6 y = -20 -16x + 7 y = 30
(-1, 2)
17) -8x - 10 y = 24 6x + 5y = 2
(7, -8)
19) -4 y - 11x = 36 20 = -10x - 10 y
(-4, 2)
10) -7x + 2y = 18 6x + 6y = 0
(-2, 2)
12) 3x - 5y = 17 y = -7
(-6, -7)
14) 4x - y = 20 -2x - 2y = 10
(3, -8)
16) 6x - 12 y = 24 -x - 6y = 4
(2, -1)
18) -24 - 8x = 12 y
5
7
1+ y=- x
9 18
(6, -6)
20) -9 + 5 y = -4x -11x = -20 + 9 y
(1, 1)
21) 0 = -2 y + 10 - 6x 14 - 22 y = 18x
(2, -1)
22) -16 y = 22 + 6x -11 y - 4x = 15
(-1, -1)
23) -16 + 20x - 8 y = 0 36 = -18 y - 22x
(0, -2)
5 11 24) - - x = - y
7 7 2y = 7 + 5x
(-3, -4)
Critical thinking questions:
25) Write a system of equations with the solution (4, -3).
Many answers. Ex: x + y = 1, 2x + y = 5
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at
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Worksheet by Kuta Software LLC
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