How to sketch/graph the conic section $2x^2−4xy+5y^2=36$ in the (x, y)-plane by making use of the coordinate transformations $2(x−y)^2+3(y)^2 =36$

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How do I sketch/graph the conic section $$2x^2−4xy+5y^2=36$$ in the (x, y)-plane by making use of the coordinate transformations $$2(x−y)^2+3(y)^2 =36$$ With $x'=x-y$ and $y'=y$, so $$2(x')^2+3(y')^2 =36$$