we add the two equations to eliminate the variable x
[tex]\begin{gathered} -4x+2y=-12 \\ 4x+8y=-24 \\ ----------- \\ 0x+10y=-36 \end{gathered}[/tex]now solve y
[tex]\begin{gathered} 10y=-36 \\ y=-\frac{36}{10} \\ \\ y=-\frac{18}{5} \end{gathered}[/tex]now we can reaplce y on any equation to solve x, i will replace on the first equation
[tex]-4x+2(-\frac{18}{5})=-12[/tex]do the operations on solve for x
[tex]\begin{gathered} -4x-\frac{36}{5}=-12 \\ \\ -4x=-12+\frac{36}{5} \\ \\ -4x=-\frac{24}{5} \\ \\ x=\frac{\frac{24}{5}}{4} \\ \\ x=\frac{6}{5} \end{gathered}[/tex]so, the solution point is
[tex](\frac{6}{5},-\frac{18}{5})[/tex]