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Linear Systems Name______________ANSWERS______________________________
Directions: Solve algebraically using the substitution or elimination method.
1. Solve and check this linear system:
y = x + 7 and
y = -2x + 1
ANSWERS on following pages.
5.
the solution to the system of equations:
x - 3y = -3 and 2x + y = 8?
1) -3
2) 2
3) 3
4) -2
6.
2. Solve and check this linear system:
x + 2y = 12 and 2x - y = 4
Which choice is the value of the y-coordinate of
The substitution method is used to solve the
following system of equations algebraically:
4x - 2y = 6 and 3x + 2y = 8
Which equivalent equation may be used in this
process?
1) 3x + 2(2x – 3) = 8
2) 3x + 2(3 – 2x) = 8
3

3

3) 3  y    2 y  8 4) 3   y   2 y  8
2

2

3. Solve and check this linear system:
2a - 2b = 6 and 5a - 3b = 9
7.
Which choice is the solution to the system of
equations:
1) (7,10)
8.
4. Solve and check this linear system:
y = 3x
and y = 2x + 7 ?
 7 21 
2)  ,  3) (-7,-21)
5 5 
4) (7,21)
Which choice is the solution to the system of
equations:
13x + 10y = 14 and -x + 6y = 4
1) (2,-12)
2x + y = 6 and
2y = -4x - 16 ?
No
 1

1 
2)  5 , 5  3)  ,5  4)
solution
2 
 2

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