Question 98
Solve, for all real $x$ and $y$,
$$
\begin{gathered}
x^3 + y^3 = 19, \\
x^2 + y^2 + 5x + 5y + xy = 12.
\end{gathered}
$$
$$
\begin{gathered}
x^3 + y^3 = 19, \\
x^2 + y^2 + 5x + 5y + xy = 12.
\end{gathered}
$$
Math Olympiad Vault · MathNet 2026 — Part 06