two equations with 2 variables

Question

How can I find one point (x,y) wherefore these equations are accepted?

$-x^2 -x -y^2 +3y = 0$ and $2x^2 -3x + 2y^2 -y = 0$

The solution is (1,1). I don't think it's a hard question but I forgot how to solve this >.<. Is it with a matrix you do it?

Answer 1

multiply eq.1 by $2$ and subtract from 2 to get $x=y$

Answer 2

Strong hint: Multiply the first euqation by two and subtract it from the second one.