Answer
$(x,y)=(2,-1)$
Work Step by Step
$ x-2y-4=0 ~~~ (1)$
$3x+2y-4=0~~~ (2)$
Add the two equations to evaluate the value of $x$.
$4x=8 \implies x=2$
Plug $x=2$ back into one of the equations and solve for y.
Thus, $2-2y-4=0 \\ 2y= -2 \\ y=-1$
Therefore, $(x,y)=(2,-1)$