Answer
The solution of the system is $(2,4)$.
Work Step by Step
Graph both equations in the same coordinate plane.
$y = 2x \rightarrow $ The slope is $2$. The y-intercept is 0.
$y =-2x+8 \rightarrow $ The slope is $-2$. The y-intercept is 8.
Find the point of intersection. The lines appear to intersect at $(2,4)$. Check to see if $(2,4)$ makes both equations true.
$y=2x \rightarrow 4 = 2(2) \rightarrow 4=4 $
$y=-2x+8 \rightarrow 4=-2(2)+8 \rightarrow 4=4 $
The solution of the system is $(2,4)$.
