#### Answer

(-3,-1)

#### Work Step by Step

$x-6y=3$
$3y=x$
Substitute 3y for x in the first equation.
$3y-6y=3$ $\longrightarrow$ simplify
$-3y=3$ $\longrightarrow$ divide both sides by -3
$-3y\div-3=3\div-3$ $\longrightarrow$ simplify
$y=-1$
Substitute -1 for y in the second equation.
$3(-1)=x$ $\longrightarrow$ simplify
$-3=x$