Name:
Period:
Date:
Solving Systems of Equations
Directions: Solve each equation using the method of your choice (graphing, substitution, or
elimination). If you choose to use the graphing method, use a straight edge and the graph
paper provided. Put your final answer in the box provided.
1.) y = 3x + 11
y = -2x + 1
Solution:
3.) y = 3x – 1
Solution:
2.) x + y = 10
x–y=2
Solution:
y = -x + 3
4.) y = 5x – 8
Solution:
5y = 2x + 6
5.) y + 3x = 5
y + 4x = -1
Solution:
7.) 2x + 3y = 4
Solution:
6.) y = 2x -3
y –x = -1
Solution:
-6x + y = 8
8.) y = x + 4
Solution:
y = 4x + 1
If you choose to use the graphing method, write the number of the problem you are graphing on the
line provided.
#
#
#
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Answer Key
Name:
Period:
Date:
Solving Systems of Equations
Directions: Solve each equation using the method of your choice (graphing, substitution, or
elimination). If you choose to use the graphing method, use a straight edge and the graph
paper provided. Put your final answer in the box provided.
1.) y = 3x + 11
y = -2x + 1
Using Substitution:
3x + 11 = -2x + 1
y = -2(-2) + 1
5x + 11 = 1
y=4+1
5x = -10
2.) x + y = 10
x–y=2
Using Elimination:
x + y = 10
+
x–y=2
2x = 12
y=5
x=6
x = -2
6 + y = 10
y=4
Solution:
(-2, 5)
3.) y = 3x – 1
Solution:
y = -x + 3
Using Substitution:
(6, 4)
4.) y = 5x – 8
5y = 2x + 6
Using Substitution:
3x - 1 = -x + 3
y = -1 + 3
5(5x – 8) = 2x + 6
y = 5(2) - 8
4x - 1 = 3
y=2
25x – 40 = 2x + 6
y = 10 – 8
23x – 40 = 6
y=2
4x = 4
x=1
23x = 46
x=2
Solution:
(1, 2)
Solution:
(2, 2)
5.) y + 3x = 5
y + 4x = -1
Using Elimination:
6.) y = 2x -3
Using Substitution:
y + 3x = 5
-
y –x = -1
(2x – 3) - x = -1
y + 4x = -1
-1x = 6
x – 3 = -1
x = -6
x=2
y = 2(2) - 3
y=4-3
y=1
y + 3(-6) = 5
y – 18 = 5
y = 23
Solution:
Solution:
(-6, 23)
7.) 2x + 3y = 4
-6x + y = 8
8.) y = x + 4
Using Elimination:
2x + 3y = 4
6x + 9y = 12
-6x + y = 8
-6x + y = 8
(2, 1)
y = 4x + 1
Using Substitution:
x + 4 = 4x + 1
y=1+4
4 = 3x+ 1
10y = 20
3 = 3x
y=2
1=x
y=5
2x + 3(2) = 4
2x+ 6 = 4
2x = -2
x = -1
Solution:
(-1, 2)
Solution:
(1, 5)
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