Elimination Method

Elimination Method

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Multiple Choice

If we have two equations

5x + 7y = 14

y = 3x + 2

Substitute the second equation into the first for y

• 5(3x + 2) + 7y = 14

• 5x + 7y = 3x + 2

• 5x + 7(3x + 2) = 14

Multiple Choice

What is the name of the form that both these lines are in?

• Slope intercept form

• Standard Form

• Point Slope Form

Multiple Choice

Are these equations lined up?

• Yes

• No

Multiple Choice

Are these equations lined up?

• Yes

• No

Multiple Choice

What needs to happen to get these equations line up? (what term needs to move to the left side of the equation in the bottom equation

• y term

• x term

• constant term

Multiple Choice

What happens to the x terms if we subtract the bottom equation from the top?

• Increases

• Cancels Out

• Doubles

Multiple Choice

What happens after we subtract these equations?

• x + 8y = 24

• 6y = 24

• 8y =24

Multiple Choice

Solve for the y value of the solution

8y =24

• y = 4

• y = 0

• y = 3

Multiple Choice

Multiply the top equation by 2 and the bottom equation by 5

what does the TOP equation become?

• 10x + 6y = -14

• 5x + 3y =-7

• 10x + 35y = 15

Multiple Choice

Multiply the top equation by 2 and the bottom equation by 5

what does the BOTTOM equation become?

• 10x + 6y = -14

• 5x + 3y =-7

• 10x + 35y = 15

Multiple Choice

What term will cancel out when these equations are added together

• x terms

• y terms

• constant terms

Multiple Choice

What do you get when you add these equations together?

• 20y = 20

• -29y = -29

• -17y = 17

Multiple Choice

Solve for y

-29y = -29

• y = 2

• y = 0

• y = 1

Multiple Choice

Since y = 1

Plug y = 1 into the bottom equation

2x + 7y + 3

• 2x + 7(1) = 3

• 2(1) + 7(1) = 3

• 2(1) + 7y = 3

Multiple Choice

2x + 7(1) = 3

Solve for x

• x = 1

• x = -2

• x = 2

Poll

How well do you feel you understand the elimination method?

• Completely understand

• Very close to fully understanding

• Starting to get it

• No clue