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?

• 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?

• Multiply the top equation by 6

• Multiply the top equation by 2

• Multiply the bottom equation by 6

• Multiply the bottom equation by 2

Solve by elimination:

16x + 14y = 7

-8x - 7y = -6

• (-8, 8)

• (8, 6)

• Infinitely Many Solutions

• No Solution

-3x - 3y = -9

-9x -9y = -27

• (8, -10)

• (-8, -10)

• Infinitely Many Solutions

• No solution

• No solution

• (1,8)

• (-2,-3)

• (-1,-2)

• (5, 14)

• (4, 5)

• (5, 4)

• (14, 5)

Check to see if (-2,1) is a solution to the following system: x + 2y = 0 4x + 3y = 1

• YES

• NO

Is (0,2) a solution to the system:

3x + 2y = 4

8x - 3y = -6

• YES

• NO

Is (5, 2) a solution to the system:

x + y = 7

x - y = 4

• YES

• NO

Solve the system by elimination.
−6x + 6y = 0
9x − 8y = 4

• (4, −9)
  

• Infinite number of solutions 

• (−9, 4)
  

• (4, 4)