Systems of Equations Practice
Solve by graphing.
1
2x − 3y = 6
x+y=3
2
Solve by graphing.
4
2y + 3x = 6
1 y −11 = 3 x
2
2 4
3y = 15 − 3x
2x = 4 + y
5
2x − 5y = 1
3x + 7y = −13
8
13
11
14
17
19
20
Solve using any method.
22
6x + 7y = 7
y = 1− 45 x
3x − 2y = −6
2x + 3y = −7
23
1
4
3m + 5n = −6
m + n = −1
4 2
3x − 2y = −4
9x + 5y = −23
x−y=2
3x + 5y = −18
1 y = 1− 1 x
5
5
3 x − y = −5
4
2x − 3y = −11
3x + 6y = 15
x − 3y = −7
5 − 3x = 4y
Solve by elimination.
12
x − 3y = −7
2x = 8 − 5y
Solve by substitution.
15
x − 3y = −7
2x = 8 + 6y
Solve by substitution.
18
2x − 3y = 6
x+y=8
Solve using any method.
21
Solve using any method.
4 − 2n = 3m
1m+ 1n = 2
2
3
3
Solve using any method.
24
2x + 3y = 4
3x + 12 y = 2
Solve using any method.
Solve using any method.
25
9
Solve using any method.
Solve using any method:
5 y+x =3
4
4x= 7−y
5
5
5x + 2y = 11
7x + 4y = 19
x − 2y = 2
y = 23 x
Solve by elimination.
Solve by substitution.
Solve by substitution.
2x − 3y = −8
3x + 6y = 9
6
Solve by substitution.
2x − 4y = 4
16
4y + 8 = 2x
3x − 2y = 6
4x − 2y = 8
x + 12 y = −2
Solve by graphing.
Solve by elimination.
Solve by substitution.
1x+y=4
3
3
Solve by elimination.
Solve by elimination.
10
4 = 2x − 4y
3y = 2x − 6
Solve by graphing.
Solve by elimination.
7
Solve by graphing.
Solve by graphing.
26
5x
= 4+ y
2
2
y= x−2
5
Solve using any method.
27
5x + 2y = 10
3x + 4y = 6
Answers
1
(3,0)
2
(6,2)
3
(0,−4)
4
(0,3)
5
(1,−1 12 )
6
(−6,−4)
(−1,2)
7
(3,2)
8
(1,3)
9
10
(−2,−1)
11
(8,−6)
12
(−1,2)
13
(6,2)
14
(−2,−1)
15
No solution
(Parallel lines)
16
(−1,2)
17
(−1,−3)
18
(6,2)
19
No solution
(Parallel lines)
20
(0,5)
21
All points on the line of
the equations.
22
(0,1)
23
(−1,3)
24
( 12 ,1)
25
(− 52 ,− 43 )
26
No solution
(Parallel lines)
27
(2,0)