Systems of equations worksheet



Name _____________________                                        Date:_____________________


Find the solution for each system below by elimination or by substitution.

1.
y = 2x - 3

y = x - 1

x = ________ y = ___________
2.
y = -2x + 1

y = 2x - 3

x = ________ y = ___________
3.
4x - 2y = 8

2x + 2y = 4

x = ________ y = ___________
4.
-2x - y = -2

2x + 4y = 11

x = ________ y = ___________
5.
6x + 2y = 10

3x + 3y = -13

x = ________ y = ___________
6.
7x - 12y = -13

5x + 4y = 19

x = ________ y = ___________
7.
4x + 2y = 14

7x - 3y = -8

x = ________ y = ___________
8.
15x + 3y = 9

10x + 7y = -4

x = ________ y = ___________












Name _____________________                                        Date:_____________________


Tell whether the system below has 1 solution, no solution, or infinitely many solutions. If the system has a solution, find it.

1.
y = 6x + 1

y = 6x - 1

________________
2.
y = 3x + 1

y = 2x - 1

________________
3.
y = -5x + 1

y = -5x + 1

________________
4.
y = 8x - 5

y = -8x - 5

________________
5.
2y - 6x = 10

2y + 6x = -10

________________
6.
10y = 20x + 40

10y = 20x + 10

________________
7.
y = (1/5)x - 2

5y + 10 = x

________________
8.
y = (1/4)x + 6

4y - 24 = -x

________________

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