Question

Ellason wants to solve the following system using the elimination method:

5x + 2y = 30
x + y = 8

What number should the equation x + y = 8 be multiplied by to eliminate y?

2
−2
5
−5

Answer 1

What is the y term of the first equation?

Answer 2

2

Answer 3

Since the value of y in the first equation is 2, we can multiply the opposite of 2 to the second equation to eliminate y. So what is the opposite of 2?

Answer 4

Actually, 2y.
What is the y-term of the second equation?

Answer 5

-2?

Answer 6

yes -2

Answer 7

so that is your correct answer :)

Answer 8

What is the y-term of the second equation? It is just y.
When you add 2y to -2y you get zero and the y-terms will be eliminated.
If you multiply the second equation by -2, the y-term of the second equation will become -2y. Then when you add equations, the y-terms will be eliminated.

Answer 9

You are correct.

Answer 10

thanks guys :)

Answer 11

np :)