Solve Systems of Equations by Elimination

Solve the system of linear equations
-2x - 10y = 22
2x + 5y = -12

• (-2, -1)

• (-4, -2)

• (4, -2)

• (-1, -2)

Solve the system of linear equations
4x - y = -14
3x + 2y = -16

• (4, 6)

• (-4, -2)

• (-4, 1)

• (-2, -4)

Find the solution using the elimination method. (Write your answer as an ordered pair, i.e. (1,1)

What is the value of the x-coordinate to the solution to this system of linear equations? 2x + 3y = 15 and -x + 3y = 3

• 3

• -3

• 6

• 4

Solve the system given:
3x - y = 7
2x + y = 3

• (-1,2)

• (5,4)

• (4,5)

• (2,-1)

Find the solution to the system.
y = x-6
y = -3x + 2

• (0, -6)

• (6, 0)

• (-4, 2)

• (2, -4)

-4x - 6y = -24

4x - 7y = - 54

Let's combine (add) these 2 equations to ELIMINATE the x variable. What would our combined equations be?

• -1y = 30

• 13y = -30

• -1y = -78

• -13y = -78

What would be the first step in finding the solution using elimination?

• you cannot solve this using eliminiation

• cross out the 2x and 3x, because when you add them, they equal 0

• cross out the 2y and -2y because when you add them, they equal 0

• change to slope intercept form and graph

When you solve these equations using the elimination method, which variable will be eliminated?

• The  x

• The  y

• The  z

• The unknown

The coefficients of the eliminated variable must be _____.

• opposites

• the same

• distinct

• does not matter