Algebra 1
Name___________________________________ ID: 1
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Assignment
Date________________ Period____
Solve each system by graphing. Remember to plot your y-intercept 1st and then move from that
point using the slope! Make sure you write the order pair where the lines intersect as that is
your solution to the problem.
1
1) y = x - 1
6
4
y= x+6
3
1
2) y = - x + 9
2
13
y= x-8
8
y
-10
-8
-6
-4
y
10
10
8
8
6
6
4
4
2
2
-2
2
4
6
8
10 x
-10
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
-10
-10
4
6
8
10 x
Worksheet by Kuta Software LLC
-1-
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Solve each system by substitution. Remember to get one equation in the form of y = mx + b and
then substitute that into the other equation and solve for x. Once you have a value for X; plug it
in,plug it in,plug it in and then solve for y!
3) y = -6x + 23
-x + 2 y = 7
4) -7x + 6y = -13
6x + 6 y = 0
Solve each system by elimination.
5) 6x + 3 y = -6
-4x - 3 y = -6
6) 5x - 7 y = -11
-10x + 9 y = -18
Worksheet by Kuta Software LLC
-2-
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Algebra 1
Name___________________________________ ID: 2
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Assignment
Date________________ Period____
Solve each system by graphing. Remember to plot your y-intercept 1st and then move from that
point using the slope! Make sure you write the order pair where the lines intersect as that is
your solution to the problem.
7
1) y = x - 7
2
1
y= x+6
4
3
2) y = x + 5
8
1
y=- x-2
2
y
-10
-8
-6
-4
y
10
10
8
8
6
6
4
4
2
2
-2
2
4
6
8
10 x
-10
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
-10
-10
4
6
8
10 x
Worksheet by Kuta Software LLC
-1-
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Solve each system by substitution. Remember to get one equation in the form of y = mx + b and
then substitute that into the other equation and solve for x. Once you have a value for X; plug it
in,plug it in,plug it in and then solve for y!
3) -4x + 5 y = 11
y = 2x + 7
4) -6x + 2y = 14
4x + 2 y = 4
Solve each system by elimination.
5) -2x + y = 28
x - y = -18
6) -5x + 8y = 21
8x - 16 y = -24
Worksheet by Kuta Software LLC
-2-
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Algebra 1
Name___________________________________ ID: 3
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Assignment
Date________________ Period____
Solve each system by graphing. Remember to plot your y-intercept 1st and then move from that
point using the slope! Make sure you write the order pair where the lines intersect as that is
your solution to the problem.
1) y = -5x - 3
y = 3x + 5
2) y = -3x - 3
3
y=- x+6
4
y
10
y
8
10
6
8
4
6
2
4
2
-10
-8
-6
-4
-2
2
4
6
8
10 x
-2
-10
-8
-6
-4
-2
2
-4
-2
-6
-4
-8
-6
-10
-8
4
6
10 x
8
-10
Worksheet by Kuta Software LLC
-1-
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Solve each system by substitution. Remember to get one equation in the form of y = mx + b and
then substitute that into the other equation and solve for x. Once you have a value for X; plug it
in,plug it in,plug it in and then solve for y!
3) -5x + 3 y = -6
y = -4x - 2
4) 6x - 6 y = -6
-2x + 5y = 11
Solve each system by elimination.
5) -4x + 3 y = -2
-x - 3 y = -23
6) -6x - 10 y = -26
x + 5y = 1
Worksheet by Kuta Software LLC
-2-
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