Answer
$x=12$
$y=6$
$(12,6)$
Work Step by Step
$\frac{1}{3}x - \frac{3}{2}y = -5$ $(1)$
$\frac{3}{4}x + \frac{1}{3}y=11$ $(2)$
Multiply Equation $(1)$ by $\frac{1}{3}$ and Equation $(2)$ by $\frac{3}{2}$
$\frac{1}{9}x - \frac{1}{2}y = -\frac{5}{3}$ $(1)$
$\frac{9}{8}x + \frac{1}{2}y = \frac{33}{2}$ $(2)$
Add two equations together
$(\frac{1}{9} + \frac{9}{8})x = -\frac{5}{3} + \frac{33}{2}$
$\frac{89}{72}x = \frac{89}{6}$
$x=12$
Substitute into Equation $(2)$
$\frac{1}{3}y = 11 - \frac{3}{4}(12)$
$\frac{1}{3}y=2$
$y=6$