Ta có: \(3\left(x-1\right)=3\left(z-3\right)\)
\(\Rightarrow x=z-2\left(1\right)\)
\(2\left(y-2\right)=3\left(z-3\right)\)
\(\Rightarrow y=\dfrac{\left(3z-5\right)}{2}\left(2\right)\)
Thay (1); (2) vào 3x + 3y - z = 50, ta có:
\(z=\dfrac{123}{11}\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{101}{11}\\y=\dfrac{157}{11}\end{matrix}\right.\)