Answer
$(6,-5)$
Work Step by Step
We have two equations such as: $5x+4y=10$ and $3x+5y=-7$
From the first equation, we have $y=\dfrac{10-5x}{4}$
Plug the above value of $y$ in the second equation.
$3x+5(\dfrac{10-5x}{4})=-7$
or, $-13x=-28-50$
or, $x=6$
and $y=\dfrac{10-5(6)}{4}=-5$
Hence, $(x,y)=(6,-5)$
