What is the solution of the system?PLEASE HELP 15 POINTSUse the elimination method.{−4x−2y=−122x+4y=−12Enter your answer in the boxes.

Answer:[tex]x=6[/tex][tex]y=-6[/tex]Step-by-step explanation:We have been given  the system of equation:-4x-2y= -122x+4y= -12We need to use the elimination methodWe 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[tex]y=-6[/tex]Now we will put value of y which is [tex]y=-6[/tex] in equation 4 so as to get value of x[tex]8x+16(-6)=-48[/tex][tex]\Rightarrow 8x-96=-48[/tex][tex]\Rightarrow 8x=-48+96[/tex][tex]\Rightarrow 8x=48[/tex][tex]\Rightarrow x=6[/tex]