Giải thích các bước giải:
\(\begin{array}{l}
\left\{ \begin{array}{l}
\frac{{x - 1}}{2} = \frac{{y + 3}}{4}\\
\frac{{x - 1}}{2} = \frac{{z - 5}}{6}\\
5z - 3x - 4y = 50
\end{array} \right.\\
\to \left\{ \begin{array}{l}
2x - 2 = y + 3\\
3x - 3 = z - 5\\
5z - 3x - 4y = 50
\end{array} \right.\\
\to \left\{ \begin{array}{l}
y = 2x - 5\\
z = 3x + 2\\
15x + 10 - 3x - 8x + 20 = 50
\end{array} \right.\\
\to \left\{ \begin{array}{l}
y = 2x - 5\\
z = 3x + 2\\
x = 5
\end{array} \right. \to \left\{ \begin{array}{l}
x = 5\\
y = 5\\
z = 17
\end{array} \right.
\end{array}\)