Algebra 1: Chapter 6
Systems #3
Solve each system by graphing each system on its own graph. Show all four quadrants and
graph the lines as instructed in class. Record your answer as a coordinate point.
1.
2.
x+ y =2
y = 2x + 5
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4.
3
y = x "10
4
2x + y = 12
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5.
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"1
x+ y =8
2
1
y = x+2
2
y = 2x + 6
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Solve each system by constructing
the table. Copy down the table while including at
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minimum four lines in your table. Record your answer as a coordinate point.
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6.
y = "2x + 2
y = 4 x + 14
9.
"5x + y = 8
y = 5x + 3
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7.
y = 2(7x + 6)
"14 x + y = 12
10.
y = 6x " 9
"3x + y = 3
8.
y = "3x + 21
"2x + y = "9
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Solve each system by setting the equations equal to each other, by using the y1=y2
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technique. Show complete algebraic
work. Record your answer as a coordinate point.
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11.
2x + y = 14
y = 4 x + 32
14.
2x + y = "20
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12.
y = 4 x " 37
6x + y = 23
15.
y=
"1
x + 10
2
1
y= x+3
5
13.
y = 8x + 2
"5x + y = 17
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Solve each system by using substitution. Show complete algebraic work. Record your
answer as a coordinate point.
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3x + 2y = 17
4 x " 3y = "23
2x + 4 y = 20
16.
17.
18.
2x + y = 11
x + 4 y = 18
x + 2y = 10
19.
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3.
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"2x + y = 6
y = 5x + 8
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2
x+4
3
"1
y = x + 10
3
y=
4 x " 3y = "10
8x " y = 0
20.
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x + 4 y = 32
6x + 3y = "15
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Solve each system by using elimination. Show complete algebraic work. Record your
answer as a coordinate point.
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21.
4 x " 5y = "12
"4 x + 3y = 4
22.
24.
"2x + 3y = 12
4 x " 6y = 5
25.
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3x + 2y = 1
5x + 2y = "5
23.
4 x " 3y = "20
2x + y = 5
"3x " 7y = 105
2x + 3y = "50
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26. If you have two equations in slope-intercept form, y = mx + b , how do you know the answer
will be a coordinate point without graphing, making a table, or solving by using y1=y2? Answer
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in complete sentences and include an example.
! form, y = mx + b , how do you know the answer
27. If you have two equations in slope-intercept
is “infinite solutions” without graphing, making a table, or solving by using y1=y2? Answer in
complete sentences and include an example.
! form, y = mx + b , how do you know the answer
28. If you have two equations in slope-intercept
is “no solution” without graphing, making a table, or solving by using y1=y2? Answer in
complete sentences and include an example.
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