Three variable, two equation real nonlinear system
Source: IOM 2018 #1, Vladimir Bragin
September 6, 2018
algebraIOM
Problem Statement
Solve the system of equations in real numbers:
\begin{cases*}
(x - 1)(y - 1)(z - 1) = xyz - 1,\\
(x - 2)(y - 2)(z - 2) = xyz - 2.\\
\end{cases*}
Vladimir Bragin