Answer
$x=6$, $y=0$
Work Step by Step
$x/6 - y/2 = 1$
$x/3 - y/4 = 2$
$x/6 - y/2 = 1$
$6*(x/6 - y/2) = 6*1$
$x - 3y=6$
$x/3 - y/4 = 2$
$12*(x/3 - y/4) = 12*2$
$4x-3y=24$
$x - 3y=6$
$4x-3y=24$
$x - 3y=6$
$x - 3y+3y=6+3y$
$x=6+3y$
$4x-3y=24$
$4(6+3y)-3y=24$
$24+12y-3y=24$
$24+9y=24$
$24+9y-24=24-24$
$9y=0$
$9y/9=0/9$
$y=0$
$x-3y=6$
$x-3*0=6$
$x-0=6$
$x=6$