Question

What is the solution of the system?

PLEASE HELP 15 POINTS
Use the elimination method.

{−4x−2y=−122x+4y=−12

Enter your answer in the boxes.

Answer 1

(6,-6)

Explanation:

I took the quiz and it was correct so you don't have to read all the information at the top but yes she is correct

Answer 2

`x=6`

`y=-6`

Explanation:

We have been given the system of equation:

-4x-2y= -12

2x+4y= -12

We need to use the elimination method

We will multiply first equation by 2 and second equation by 4 so as to remove x so that we can get one variable that is y's value equation becomes:

-8x-4y = -24 (3)

8x+16y = -48 (4)

Adding equation (3) and (4) we get:

12y = -72

`y=-6`

Now we will put value of y which is
`y=-6` in equation 4 so as to get value of x

`8x+16(-6)=-48`

`\Rightarrow 8x-96=-48`

`\Rightarrow 8x=-48+96`

`\Rightarrow 8x=48`

`\Rightarrow x=6`