In order to solve the system, we can compare both y values from each equation:
[tex]\begin{gathered} \begin{cases}y=-2x-4 \\ y=2x-4\end{cases} \\ -2x-4=2x-4 \\ 4x=0 \\ x=0 \\ \\ y=2x-4 \\ y=0-4 \\ y=-4 \end{gathered}[/tex]So the solution for this system is the pair (0, -4), that is, x = 0 and y = -4.