#### Answer

$x=0$
$y=0$

#### Work Step by Step

If we multiply the second equation by $3$, then we add the two equations, we can eliminate the $y$ from the system:
$3x+3y=0$
$-2\times3x-3y=0\times3$
$3x-6x=0$
$x=0$
$3(0)+3y=0$
$y=0$
We have to check, if the solution is right. Substitute $x$ with 0 and $y$ with 0:
$3(0)+3(0)=0$ $\checkmark$
$-2(0)-0=0$ $\checkmark$