Solve the system
[tex]\begin{gathered} x+y=-2 \\ -2x-y=8 \\ \end{gathered}[/tex]We clear x from x + y = -2:
[tex]\begin{gathered} x+y-y=-2-y \\ x=-2-y \end{gathered}[/tex]We substitute x in the second equation and simplify:
[tex]\begin{gathered} -2(-2-y)-y=8 \\ 4+2y-y=8 \\ 4+y=8 \end{gathered}[/tex]We clear y:
[tex]\begin{gathered} 4+y-4=8-4 \\ y=4 \end{gathered}[/tex]We substitute y in x = -2 - y:
[tex]x=-2-4=-6[/tex]Answer:
x = - 6
y = 4
