Question 53
Find all reals $x$, $y$ and $z$ such that
$$
\begin{cases}
(x + 1)yz = 27, \\
(y + 1)zx = 12, \\
(z + 1)xy = 12.
\end{cases}
$$
$$
\begin{cases}
(x + 1)yz = 27, \\
(y + 1)zx = 12, \\
(z + 1)xy = 12.
\end{cases}
$$
MathNet 2012 Question 53
Math Olympiad Vault · MathNet 2012