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Use GRAPHING to find the point of intersection in each problem. Do your work on the graph
paper provided and write you answer in point form (x, y) under the given problem on this sheet.
Staple the sheet with you work to this when done.
a. x + y = 8
y−x=2
b. x + y = 5
x−y =1
c. y = −3x
x + y = −2
d. 2x + y = 2
x + y = −1
(3, 5)
(3, 2)
(1, −3)
(3, −4)
e. y = 2x + 10
x+y =1
3x − y = 4
x − y = −2
f.
(−3, 4)
(3, 5)
Use SUBSTITUTION to find the point of intersection in each problem. Do your work on a seperate
sheet and write you answer in point form (x, y) under the given problem on this sheet. Staple the
sheet(s) with you work to this when done.
a. y = 6x − 11
−2x − 3y = −7
b. 2x − 3y = −1
y =x−1
(2, 1)
(4, 3)
e. y = −2
4x − 3y = 18
f.
(3, −2)
i.
y = 5x − 7
−3x − 2y = −12
(2, 3)
−3x − 4y = 2
3x + 3y = −3
j.
(−2, 1)
y = −3x + 5
3x − 4y = −3
17 8
5 ,5
d. −3x − 3y = 3
y = −5x − 17
g. −3x + 3y = 4
−x + y = 3
h. 6x + 6y = −6
5x + y = −13
c.
(−4, 3)
No Solution
−2x + 6y = 6
−7x + 8y = −5
(−3, 2)
k. −5x − 8y = 17
2x − 7y = −17
(3, 2)
l.
(−5, 1)
−2x − y = −9
5x − 2y = 18
(4, 1)
Use COMBINATION to find the point of intersection in each problem. Do your work on a seperate
sheet and write you answer in point form (x, y) under the given problem on this sheet. Staple the
sheet(s) with you work to this when done.
a. 5x + y = 9
10x − 7y = −18
b. −4x + 9y = 9
x − 3y = −6
(1, 4)
e. 16x − 10y = 10
−8x − 6y = 6
(9, 5)
f.
(0, −1)
i.
5x + 4y = −14
3x + 6y = 6
(−6, 4)
8x + 14y = 4
−6x − 7y = −10
(4, −2)
j.
2x + 8y = 6
−5x − 20y = −15
∞ Solutions
c.
−3x + 7y = −16
−9x + 5y = 16
d. −7x + y = −19
−2x + 3y = −19
(−4, −4)
g. −4x − 15y = −17
−x + 5y = −13
(2, −5)
h. −x − 7y = 14
−4x − 14y = 28
(8, −1)
k. −14 = −20y − 7x
10y + 4 = 2x
(2, 0)
(0, −2)
l.
3 + 2x − y = 0
−3 − 7y = 10x
(−1, 1)
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