Question

What is the solution of the system? Use the elimination method. {−4x−2y=−12 2x+4y=−12 Enter your answer in the boxes. ( , )

Answer 1

x=6, y=-6------------------------

Answer 2

Hello! To eliminate the value of y, lets multiply the first equation by 2 and then add the two equations together:

$-8x-4y=-24$
$2x+4y=-12$

The resulting equation would be: $-6x=-36$

Solving the equation, we'll get the value of x which is 6.

Lastly, we plug in the value of x to any of the equations to get the value of y. Let's plug it into the first equation.

$-4(6)-2y=-12$
$-24-2y=-12$
$-2y=12$
$y=-6$

ANSWER: Therefore, the solution to the system is the ordered pair (6,-6).