1. The problem statement, all variables and given/known data Find all the plane (x,y) all points of intersection of two quadric: 2x^2-xy+3y^2=36, 3x^2-4xy+5y^2=36 2. Relevant equations 3. The attempt at a solution I want to know the general process to solve something like this. Is the problem solved by using det somehow? Or divide by y^2 and let k=x/y then make 2 equations are solve that somehow??