Equation System
Source: Turkey JBMO TST 2016 P1
May 22, 2016
algebrasystem of equations
Problem Statement
Find all pairs of real numbers satisfying the equations
\begin{align*} x^2+y&=xy^2 \\
2x^2y+y^2&=x+y+3xy.
\end{align*}
Source: Turkey JBMO TST 2016 P1