Answer
The point of intersection is (-2,3).
Work Step by Step
$5x + 3y = -1$
Isolate y to one side: $y = (\frac{1}{3})(-5x-1)$
$x-y=-5$
Isolate y to one side: $y=x+5$
Set two equations equal to each other
$(\frac{1}{3})(-5x-1) =x+5$
$-5x-1=3x+15$
$-16=8x$
$-2=x$
Substitude $x=-2$ into $y=x+5$
$y=-2+5$
$y=3$
Point (-2,3)