#### Answer

$x=0$
$y=-3$

#### Work Step by Step

$5x - 2y = 6$ Equation #1
$-3x + y = -3$ Equation #2
Now solve the Equation #2 for $y$
$y=-3+3x$
Subtitute $y$ in Eq. #1
$5x-2(-3+3x)=6$
$5x+6-6x=6$
$5x-6x=6-6$
$x=0$
Now Substite $x$ in the Equation #1 to find $y$
$5(0)-2y=6$
$y=\frac{6}{-2}$
$y=-3$