Answer
$(1,-2)$
Work Step by Step
Please see the screenshot of the tables for the two equations.
Green line: $2x+y=0$
Purple line: $3x+y=1$
If we replace $x$ and $y$ with $1$ and $-2$, respectively, for the green line, we have
$2x+y=0$
$2*1+(-2)=0$
$2-2=0$ (true)
For the purple line:
$3x+y=1$
$3*1+(-2)=1$
$3-2=1$ (true)
$2x+y=0$
$y=-2x$ ($m=-2$, y-intercept is 0)
$3x+y=1$
$3x+y-3x=1-3x$
$y=-3x+1$ ($m=-3$, y-intercept is 1)