Answer
The solution of the system is $(4,9)$.
Work Step by Step
Graph both equations in the same coordinate plane.
$y = \frac{1}{2}x+7 \rightarrow $ The slope is $\frac{1}{2}$. The y-intercept is $7$.
$y =\frac{3}{2}x+3 \rightarrow $ The slope is $\frac{3}{2}$. The y-intercept is $3$.
Find the point of intersection. The lines appear to intersect at $(4,9)$. Check to see if $(4,9)$ makes both equations true.
$y=\frac{1}{2}x+7 \rightarrow 9=\frac{1}{2}(4)+7 \rightarrow 9=9 $
$y=\frac{3}{2}x+3 \rightarrow 9=\frac{3}{2}(4)+3 \rightarrow 9=9 $
The solution of the system is $(4,9)$.
