#### Answer

The solution of the system is $(16,14)$.

#### Work Step by Step

Graph both equations in the same coordinate plane.
$y = x-2 \rightarrow $ The slope is 1. The y-intercept is -2.
$y = \frac{1}{2}x+6 \rightarrow $ The slope is $\frac{1}{2}$. The y-intercept is 6.
Find the point of intersection. The lines appear to intersect at $(16,14)$. Check to see if $(16,14)$ makes both equations true.
$y=x-2 \rightarrow 14=16-2\rightarrow 14=14 $
$y=\frac{1}{2}x+6 \rightarrow \frac{1}{2}(16)+6=14 \rightarrow14=14 $
The solution of the system is $(16,14)$.