Answer
$(0,-5) $ is a solution of the system.
Work Step by Step
A solution of a system of two equations in two variables is an ordered pair of numbers that makes both equations true.
Substituting $x=0, y=-5$ into each equation,
$ x-y=5$
$ (0)-(-5)\stackrel{?}{=}5$
$5=5,\qquad $...the first equation is true for $(0,-5)$
$y=3x-5$
$-5\stackrel{?}{=}3(0)-5$
$-5=-5\qquad $...the second equation is true for $(0,-5)$
$(0,-5) $ is a solution of the system.