System of Equations with Elimination

Use Elimination to find the solution to the system of equation.

• (2,-2)

• (-2,2)

• (3,-4)

• (-4,3)

Use Elimination to find the solution to the system of equation.

• (-4,3)

• (3,-4)

• (4,6)

• (1,6)

Solve the following using elimination.

• (10,-1)

• (-1,10)

• (-1,-10)

• (-10,-1)

Answer explanation

Solve by elimination:
4x+9y=28
-4x-y=-28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

Which variable would be easiest to eliminate?

• x

• y

• Neither

Answer explanation

The terms with x in them have opposite coefficients (4x and -4x), so they will be the easiest to eliminate when we add the equations together.

Solve using Elimination:

5x + y = 9

10x − 7y = −18

• (4, -11)

• (1, 4)

• (-1, 14)

• (-4, 29)

Answer explanation

4x + 8y = 20
−4x + 2y = −30

• (-1, 7)

• (-7, 1)

• (7, -1)

• (1, -7)

Solve the following system of equations algebraically using elimination method.

• (3, -3)

• (-3, 3)

• (3, 5)

• (-3, 5)

Solve the following system of equations algebraically using elimination method.

• (-3, 4)

• (3, 4)

• (3, -4)

• (-3, -3)

Solve the following system of equations algebraically using Elimination Method.

• (1, 1)

• (3, 1)

• (-1, -1)

• (1, 3)