Answer
$(\frac{32}{7},-\frac{20}{7})$
Work Step by Step
$(5x=6y+40)$ $+$
$(2y=8-3x)$
$(5x-6y=40)$ $+$
$(3x+2y=8)$
$(15x-18y=120)$ $-$
$(15x+10y=40)$
$-28y=80$
$y=-\frac{20}{7}$
$5x=6y+40$
$5x=6(-\frac{20}{7})+40$
$5x=-\frac{120}{7}+40$
$5x=\frac{160}{7}$
$x=\frac{32}{7}$
$(\frac{32}{7},-\frac{20}{7})$