This is from a competition: DMM Olympiad, Ural State University P4
I don't understand what the question means exactly (the first part, i.e. "exclude $x$ or $y$ from..." part). Does it mean "write $x$ in terms of $y$ or $y$ in terms of $x$", or something else?
Exclude $x$ or $y$ from \begin{array}{l}2x^3+3xy^2-4x^2 y^2+y+1 = 0\\ 3x+5x^3 y^2-2xy^5-xy+2 = 0\\ \end{array}