Question

What is the solution of the system?

Answer 1

Answer:

$x=6$

$y=-6$

Step-by-step 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

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

$\Rightarrow 8x-96=-48$

$\Rightarrow 8x=-48+96$

$\Rightarrow 8x=48$

$\Rightarrow x=6$