Artificial intelligent assistant

two equations with 2 variables 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?

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

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