#### Answer

(-2,2)

#### Work Step by Step

$4x+3y=-2$
$x+y=0\longrightarrow$ solve for y by subtracting x from both sides
$x+y-x=0-x$
$y=-x$
Substitute -x for y in the first equation.
$4x+3(-x)=-2\longrightarrow$ simplify
$4x-3x=-2\longrightarrow$ simplify
$x=-2$
Substitute -2 for x in the second equation.
$y=-(-2)\longrightarrow$ simplify
$y=2$