Answer
$(2, -8)$
Work Step by Step
$-2.5x-6.5y=47$
$0.5x-4.5y=37$
Multiply both equations by 2.
$-5x-13y=94$
$x-9y=74$
Multiply the second equation by 5.
$-5x-13y=94$
$5x-45y=370$
Add both equations.
$-58y=464$
$y=-8$
Solve for $x$.
$0.5x-4.5y=37$
$0.5x-4.5(-8)=37$
$0.5x+36=37$
$0.5x=1$
$x=2$
$x=2; y=-8$
$(2, -8)$