Solving Systems of Equations with Elimination

What can be done to one of the equations below in order to be able to eliminate a variable?

4x + 3y = 22

2x -y = -14

• Multiply the top equation by 4

• Multiply the top equation by 3

• Multiply the bottom equation by 4

• Multiply the bottom equation by 3

What can be done to one of the equations below in order to be able to eliminate a variable?

6x + 4y = 14

-9x - 8y = -25

• Multiply the top equation by 6

• Multiply the top equation by 2

• Multiply the bottom equation by 6

• Multiply the bottom equation by 2

What can be done to one of the equations below in order to be able to eliminate a variable? Select all options that would work.

-8x + 8 y = 16

4x -2y = 6

• Multiply the top equation by 4

• Multiply the top equation by 2

• Multiply the bottom equation by 4

• Multiply the bottom equation by 2

Solve by elimination:

6x - 16y = -8

2x + 8y = -16

• (4, 1)

• (-4, 1)

• (4, -1)

• (-4, -1)

Solve by elimination:

6x - y = 0

-4x - 8y = 0

• (0, 0)

• (0, 7)

• (5, -7)

• (0, -7)

Solve by elimination:

16x + 14y = 7

-8x - 7y = -6

• (-8, 8)

• (8, 6)

• Infinitely Many Solutions

• No Solution

Solve by elimination:

10x -14y = -4

-7x + 7y = 0

• (1, 1)

• (-1, 1)

• (1, -1)

• (-1, -1)

-3x - 3y = -9

-9x -9y = -27

• (8, -10)

• (-8, -10)

• Infinitely Many Solutions

• No solution