Answer
(6, 0)
Work Step by Step
Equating the expressions for y:
$\frac{1}{3}x-2=\frac{1}{2}x-3$
$1=\frac{1}{6}x$
$x=6$
Substituting $x=6$ into $y=\frac{1}{3}x-2$:
$y=\frac{1}{3}*6-2$
$y=\frac{6}{3}-2$
$y=2-2$
$y=0$
So the answer is $(6, 0)$.