I have recently come across an algebra problem in pic related but have no clue on how to solve it for x and y.
I have tried looking at systems of quadratic equations online, but none of them seem to have the second term (the x*y).
Both equations look similar to general equations for a second order curve, but do not match with any of the "standard" curves (parabola, hyperbola, circle, ellipse) an I am short on ideas.

Can anyone here provide some ideas?