Answer
$(x,y)=(2,3)$
Work Step by Step
We need to solve the given system of equations:
$2x+3y-13=0~~~(1)\\ 3x-2y=0~~~ (2)$
Multiply the first equation by $2$ and the second equation by $3$ and then add them.
$4x +9x-26=0 \\ 13x =26 \\ x=2 $
Plug $x=2$ back into one of the equations and solve for y.
Thus, $3x-2y=0 \implies (3)(2) =2y \\ y=3$
Therefore, $(x,y)=(2,3)$
