#### Answer

(10,2)

#### Work Step by Step

$5x-2y=46$
$x=5y$
Substitute 5y for x in the first equation.
$5(5y)-2y=46$ $\longrightarrow$ simplify
$25y-2y=46$ $\longrightarrow$ simplify
$23y=46$ $\longrightarrow$ divide both sides by 23
$23y\div23=46\div23$ $\longrightarrow$ simplify
$y=2$
Substitute 2 for y in the second equation.
$x=5(2)$ $\longrightarrow$ simplify
$x=10$