Solving Systems of Linear Equations by Elimination

4x + 8y = 20

-4x + 2y = -30

Look at the system of equations above. If you add these two equations together, which variable will be eliminated?

• The x

• The y

• The z

• The constant

Solve the system of equations using the elimination method.

7x + 4y = -6

-7x - 6y = 30

• (6, -12)

• (6, 12)

• (-12, 8)

• (12, -8)

Solve the system of equations using the elimination method.

-3x+3y = 18

5x-3y = -26

• (4,2)

• (-4,-2)

• (-4,2)

• (4,-2)

Solve the system of equations using the elimination method.

-4x - 6y = 6

4x + 6y = -4

• no solution

• (2,0)

• (-4,0)

• (0,0)

Solve the system of equations using the elimination method.

2x + 3y = 12

5x - y = 13

• (-3, -2)

• (1.5, 2)

• (3, 0)

• (3, 2)

Solve the system of equations using the elimination method.

5x + y = 9

10x − 7y = −18

• (4, -11)

• (1, 4)

• (-1, 14)

• (-4, 29)

Solve the system of equations using the elimination method.

4x-6y= -6

-2x-12y= -12

• (0,1)

• (1,0)

• (1,1)

• (0, 2)

Solve the system of equations using the elimination method.

2x+9y= -7

6x-3y= 9

• (-1, -1)

• (2,-1)

• (1,1)

• (1,-1)

Solve the system of equations using the elimination method.

8x + 14y = 4

-6x - 7y = -10

• (4, -2)

• (-2, 4)

• (0, 3)

• (-4, -2)

Solve the system of equations using the elimination method.

5x + 8y = -12

3x + 5y = -7

• (1, -10)

• No solution

• (-4, 1)

• (1, 10)