Answer
The solution of the system is $(2,7)$.
Work Step by Step
Graph both equations in the same coordinate plane.
$y=5x-3$
The slope is $5$. The y-intercept is $-3$.
$y=3x+1$
The slope is $3$. The y-intercept is $1$.
Find the point of intersection. The lines appear to intersect at $(2,7)$. Check to see if $(2,7)$ makes both equations true.
$y=5x-3 \rightarrow 7=5(2)-3 \rightarrow 7=7$
$y=3x+1 \rightarrow 7=3(2)+1 \rightarrow 7=7$
The solution of the system is $(2,7)$.
