x^2+xy+2y^2=9+y
2x^2+2xy+4y^2=18+2y
2x^2+2xy+4y^2+x=19
18+2y+x=19
x+2y=1
x=1-2y
(1-2y)^2+(1-2y)y+2y^2-y=9
4y^2-4y+1+y-2y^2+2y^2-y-9=0
4y^2-4y-8=0
y^2-y-2=0
(y-2)(y+1)=0
y1=2 y2=-1
x1=-3 x2=3