#### Answer

(5,-2)

#### Work Step by Step

$4x+5y=10$
$4x=-10y$
Using the value given in the second equaion, substitute -10y for 4x in the first equation.
$-10y+5y=10$ $\longrightarrow$ simplify
$-5y=10$ $\longrightarrow$ divide both sides by -5
$-5y\div-5=10\div-5$ $\longrightarrow$ simplify
$y=-2$
Substitute -2 for y in the second equation.
$4x=-10(-2)$ $\longrightarrow$ multiply
$4x=20\longrightarrow$ divide each side by 4
$4x\div4=20\div4$ $\longrightarrow$ divide
$x=5$