# How do you solve the system x + y - z = 2, x - y -z = 3, x - y - z = 4?

$\textcolor{red}{\text{The proposed question has a conflict, thus must be wrong}}$
$x + y - z = 2. \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \left(1\right)$
$\textcolor{red}{x - y - z = \textcolor{b l u e}{3} \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots . \left(2\right)}$
$\textcolor{red}{x - y - z = \textcolor{g r e e n}{4} \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots . \left(3\right)}$