Answer
The solution of the system is $(-4,-7)$
Work Step by Step
We are given $y=2x+1$
The slope is $2$. The y-intercept is $1$
$y=x-3$
The slope is $1$. The y-intercept is $-3$
We can see from the graph that the solution of the system is $(-4,-7)$. Check to see if $(-4,-7)$ makes both equations true. $-7=2(-4)+1$
$-7=-7$
$-7=-4-3$
$-7=-7$