Elimination Steps

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

2x + 2y = -2

3x - 2y = 12

• you cannot solve this using eliminiation

• subtract the equations so the y term equals 0

• add the equations so the y term equals 0

• change the order of the equations so y comes first

4x +  8y = 20

-4x + 2y = -30

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

• The  x

• The  y

• The  constant

• Both variables

Complete the phrase "Same Signs ______"

• add

• subtract

• multiply

• divide

To find the second variable, substitute the x or y you solved for into one of the ____.

• original equations

• one of the manipulated equations

• the top equation, always

• the bottom equation, always

Order the steps to the elimination method

• Rearrange order of equations if needed

• Match the coefficient

• Add or subtract the two equations

• Solve to find one variable

• Substitute to find the other variable

Let's multiply the top equation by 2. What would be our new equation?

2x + 3y = 12

4x - 7y = - 54

• 4x + 3y = 24

• 4x + 6y = 12

• 4x - 6y = 24

• 4x + 6y = 24

-4x - 6y = -24

4x - 7y = - 54

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

• -1y = 30

• 13y = -30

• -1y = -78

• -13y = -78