SOLVING SYSTEMS OF EQUATIONS BY ELIMINATION WORKSHEET

Solve each system by elimination.

Problem 1 :

-3x - 3y = 12

-9x + 3y = -24

Solution

Problem 2 :

8x - 6y = -24

-8x + y = 24

Solution

Problem 3 :

-5x + 3y = 2

-5x - 5y = -30

Solution

Problem 4 :

7x + y = 6

10x + y = 12

Solution

Problem 5 :

12x - 7y = -11

-4x + 4y = 12

Solution

Problem 6 :

6x + 2y = 30

9x - 4y = 3

Solution

Problem 7 :

12x - 8y = -12

6x + 4y = -30

Solution

Problem 8 :

-2x - 7y = -13

3x + 6y = 15

Solution

Answer Key

1)  Solution is x = 1 and y = -5.

2)  Solution is x = -3 and y = 0.

3) Solution is x = 2 and y = 4.

4)  Solution is x = 2 and y = -8.

5)  Solution is x = 2 and y = 5.

6)  Solution is x = 3 and y = 6.

7)  Solution is x = -3 and y = -3.

8)  Solution is x = 3 and y = 1.

Problem 1 :

3x + y = 7

-2x - y = 9

Problem 2 :

4x + 3y = 2

2x - 3y = 1 

Problem 3 :

2x + 2y = 3

x = 4y - 1

Problem 4 :

y = 1 + x

2x + y = -2

Problem 5 :

1/2x + 4y = 4

2x - y = 1

Problem 6 :

y = x - 4

4x + y = 26

Answer Key

1)  x = 16 and y = -41.

2)  x = 1/2 and y = 0.

3)  x = 1 and y = 1/2.

4)  x = -1 and y = 0.

5)  x = 16/17 and y = 15/17.

6)  x = 6 and y = 2.

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