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