Question 158
Find all real numbers $x$ and $y$ that satisfy the equations
$$
\begin{aligned}
x^3 + 8y^3 &= x + 2y, \\
2x^2y + 4xy^2 &= x + 2y.
\end{aligned}
$$
$$
\begin{aligned}
x^3 + 8y^3 &= x + 2y, \\
2x^2y + 4xy^2 &= x + 2y.
\end{aligned}
$$
MathNet 2008-part-03 — 165 problems (EN–VI) Question 158
Math Olympiad Vault · MathNet 2008-part-03 — 165 problems (EN–VI)