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Solving Linear Systems by Elimination

Authored by Thomas Moorehead

Mathematics

9th - 12th Grade

Solving Linear Systems by Elimination
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5 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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


2x + 3y = 12

4x - 7y = - 54

4x - 6y = -24

-4x - 6y = 12

-4x - 6y = 24

-4x - 6y = -24

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Now, our equations will look like this

-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

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Let's solve for y.

-13y = -78

y = 6

y = 1

y = 8

y = 30

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Now, let's find the solution to the system.


2x + 3y = 12

4x - 7y = - 54

(-3, 2)

(-3, -2)

(6, -3)

(-3, 6)

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Your Turn:


Solve by elimination

2x + 9y = -7

6x - 3y = 9

(-1, -1)

(2,-1)

(1,1)

(1,-1)

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