#### Answer

$(x,y)=(23,-43)$; a unique solution

#### Work Step by Step

Since, we have two equations $y=-2x+3$ and $3x+2y=-17$, we have
From the given two equations, we have $y=-2x+3$
Plug the value of y in $3x+2y=-17$,then
$3x-4x=-17-6$
or, $x=23$
Now, $y=-2x+3=-2(23)+3=-43$
Thus, $(x,y)=(23,-43)$; a unique solution