2x^2-2xy+x=-9 2y-3x=1 Решите систему , пожалуйста подробнее.Спасибо

Решите задачу:

$\left \{ {2x^2-2xy+x=-9} \atop {2y-3x=1}} \right. \left \{ {2x^2-2xy+x=-9} \atop {2y=3x+1}} \right. \left \{ {2x^2-x(3x+1)+x=-9} \atop {2y=3x+1}} \right. \left \{ {2x^2-3x^2-x+x=-9} \atop {2y=3x+1}} \right. \\ \left \{ {-x^2-x+x=-9} \atop {2y=3x+1}} \right. \left \{ {x^2=9} \atop {2y=3x+1}} \right. \left \{ { x_{1}=-3;x_{2}=3 } \atop {2y=3x+1}} \right. \left \{ { x_{1}=-3;x_{2}=3 } \atop { y_{1}=-8;y_{2}=10 }} \right.$