#### Answer

The given values of the variables are solutions of the system of equations.
$\text{See the steps below.}$

#### Work Step by Step

The system of equations is given by the following two equations:
$$\begin{cases}
x-y=3 \hspace{20pt} (1)\\[3mm]
-3x+y=1 \hspace{20pt} (2)
\end{cases}$$
Plugging in $x=-2 \text{ and } y=-5 \text{ in the two equations:}$
$$\begin{cases}
-2-(-5) =-2+5= 3 \\[3mm]
-3(-2)-5=6-5 = 1
\end{cases}$$
$\text{Since }x=-2 \text{ and } y=-5 \text{ satisfy the two equations, then}$
$x=-2 \text{ and } y=-5 \text{ are solutions of the system of equations.}$