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WorksheetsSolving Systems of Equations by Elimination
Total questions: 15
Worksheet time: 15mins
Name
Class
Date
1.
Solve this system using elimination:
4x + 8y = 20
−4x + 2y = −30
4x + 8y = 20
−4x + 2y = −30
a)
(10, −1)
b)
(7, −1)
c)
−1, −1)
d)
(6, −6)
2.
Solve this system using elimination:
−7x + y = −19
−2x + 3y = −19
−7x + y = −19
−2x + 3y = −19
a)
(2, −5)
b)
(−6, 0)
c)
(8, −1)
d)
(2, 0)
3.
Solve this system using elimination:
7x + 2y = 24
8x + 2y = 30
7x + 2y = 24
8x + 2y = 30
a)
(1, 4)
b)
(5, 6)
c)
(9, 5)
d)
(6, −9)
4.
Solve this system using elimination:
−4x − 2y = 14
−10x + 7y = −25
−4x − 2y = 14
−10x + 7y = −25
a)
(−6, 4)
b)
(−2, −4)
c)
Infinite number of solutions
d)
(−1, −5)
5.
Solve this system using elimination:
3x − 2y = 2
5x − 5y = 10
3x − 2y = 2
5x − 5y = 10
a)
(−2, −4)
b)
No solution
c)
(2, 0)
d)
(−6, 4)
6.
Solve this system using elimination:
−14 = −20y − 7x
10y + 4 = 2x
−14 = −20y − 7x
10y + 4 = 2x
a)
(2, 0)
b)
(−1, −5)
c)
(0, −1)
d)
(−1, −8)
7.
Solve this system using elimination:
3x + 5y = 1
−6x − 10y = 14
3x + 5y = 1
−6x − 10y = 14
a)
(5,1)
b)
(3,7)
c)
No solution
d)
(3,3)
8.
Solve this system using elimination:
−6x + 6y = 6
−6x + 3y = −12
−6x + 6y = 6
−6x + 3y = −12
a)
(10, −1)
b)
(5, 6)
c)
(6, −9)
d)
(2, −5)
9.
Solve this system using elimination:
−7x − 8y = 9
−4x + 9y = −22
−7x − 8y = 9
−4x + 9y = −22
a)
Infinite solutions
b)
(−2, −4)
c)
(1, −2)
d)
(−6, 4)
10.
Solve this system using elimination:
5x + y = 9
10x − 7y = −18
5x + y = 9
10x − 7y = −18
a)
(1, 4)
b)
One solution
c)
(−2, −4)
d)
No solution
11.
Solve this system using elimination:
−4x − 2y = −12
4x + 8y = −24
−4x − 2y = −12
4x + 8y = −24
a)
(10, −1)
b)
(−1, −8)
c)
(6, −6)
d)
(−1, −1)
12.
Solve this system using elimination:
−3x + 7y = −16
−9x + 5y = 16
−3x + 7y = −16
−9x + 5y = 16
a)
(2, −5)
b)
(−4, −4)
c)
(0, −1)
d)
(4, −2)
13.
Solve this system using elimination:
−7x − 2y = 0
14x + 7y = 0
−7x − 2y = 0
14x + 7y = 0
a)
One solution
b)
(0,0)
c)
(6,0)
d)
(1,7)
14.
Solve this system using elimination:
−16x − 20y = 12
−8x − 10y = 6
−16x − 20y = 12
−8x − 10y = 6
a)
(2,2)
b)
(0,2)
c)
(8,2)
d)
Infinite number of solutions
15.
Solve this system using elimination:
−4x − 15y = −17
−x + 5y = −13
−4x − 15y = −17
−x + 5y = −13
a)
(5,0)
b)
(-8,1)
c)
(8,-1)
d)
No solution
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