Question 126
Find all real solutions to the system of equations
$$
\begin{cases}
x(y-1) + y(x+1) = 6 \\
(x-1)(y+1) = 1
\end{cases}
$$
$$
\begin{cases}
x(y-1) + y(x+1) = 6 \\
(x-1)(y+1) = 1
\end{cases}
$$
MathNet 2026 — Part 07 Question 126
Math Olympiad Vault · MathNet 2026 — Part 07