#### Answer

(-1,3)

#### Work Step by Step

$5x+2y=1$
$y=-3x$
Substitute -3x for y in the first equation.
$5x+2(-3x)=1\longrightarrow$ simplify
$5x-6x=1\longrightarrow$ simplify
$-1x=1\longrightarrow$ divide both sides by -1
$-1x\div-1=1\div-1\longrightarrow$ simplify
$x=-1$
Substitute -1 for x in the second equation.
$y=-3(-1)\longrightarrow$ simplify
$y=3$