1. The problem statement, all variables and given/known data Find all solutions for the following system: X^2-xy+2y^2=8 X^3-xy^2=0 2. Questions What steps could I take to solve this? I've tried just about everything I can think of. I don't know if I should solve the cubic equation for a variable and plug it in or what. I am petty stumped here guys. 3. The attempt at a solution I took an x out of the x^3-xy^2 making it x(x^2-y^2)=0 and that is basically the only logical thing I have thought of. Thanks for any of your help!