Answer
$(2,-1)$
Work Step by Step
We write the given equations and multiply the first equation by $2$:
$ 4x-2y= 10 ~~~ (1)$
$5x+2y=8 ~~~(2)$
Now add the two equations to evaluate the value of $x$.
$9x=18 \implies x=2$
Plug $x=2$ back into one of the equations and solve for y.
Thus, $(2)(2)-y=5 \implies y= -1$
Therefore, $(x,y)=(2,-1)$
