Given:
[tex]\begin{gathered} -4x-2y=-12\ldots.(1) \\ 4x+8y=-24\ldots\text{ (2)} \end{gathered}[/tex]Add equation (1) and (2)
[tex]-4x-2y+4x+8y=-12-24[/tex][tex]6y=-36[/tex][tex]y=-6[/tex]Substitute y=-6 in (2)
[tex]4x+8(-6)=-24[/tex][tex]4x-48=-24[/tex][tex]4x=48-24[/tex][tex]x=6[/tex]