Answer
$(4,-2) $ 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 $x=4, y=-2$ into each equation,
$ -3x-2y=-8$
$- 3(4)-2(-2)\stackrel{?}{=}-8$
$-12+4=-8,\qquad $...the first equation is true for $(4,-2)$
$8=3x+2y$
$8\stackrel{?}{=} 3(4)+2(-2)$
$8=12-4\qquad $...the second equation is true for $(4,-2)$
$(4,-2) $ is a solution of the system.