Answer
$(3,12)$
Work Step by Step
$2x-\frac{3y}{4}=-3$
$x+\frac{y}{9}=\frac{13}{3}$
Multiply the first equation by 4 and the second equation by 9.
$8x-3y=-12$
$9x+y=39$
Multiply the second equation by 3.
$8x-3y=-12$
$27x+3y=117$
Add both equations.
$35x=105$
$x=3$
Solve for $y$.
$2x-\frac{3y}{4}=-3$
$2(3)-\frac{3y}{4}=-3$
$6-\frac{3y}{4}=-3$
$\frac{3y}{4}=9$
$3y=36$
$y=12$
$x=3; y=12$
$(3,12)$