[tex]-5x+y=-3 \ \ \ |\times 8 \\
3x-8y=24 \\ \\
-40x+8y=-24 \\
\underline{3x-8y=24 \ \ \ \ \ \ \ } \\
-40x+3x=24-24 \\
-37x=0 \ \ \ |\div (-37) \\
x=0 \\ \\
3x-8y=24 \\
3 \times 0 -8y=24 \\
-8y=24 \ \ \ |\div (-8) \\
y=-3 \\ \\
\boxed{(x,y)=(0,-3)}[/tex]