Answer
$x=4, y=0$
Work Step by Step
$$\begin{cases}
y=-x+4\\
y=2x-8
\end{cases}$$
$y$ is expressed as a function of $x$ in both equations, so we equate them and solve the simple linear equation to find $x$:
$$2x-8=-x+4$$
$$2x+x=8+4$$
$$3x=12$$
$$x=12:3=4$$
Determine $y$:
$$y=-4+4=0$$
The solution is:
$$\begin{cases}
x=-4\\
y=0
\end{cases}$$
