Đáp án:
\(\left[ \begin{array}{l}
m = 3\\
m = 2
\end{array} \right.\)
Giải thích các bước giải:
\(\begin{array}{l}
\left\{ \begin{array}{l}
x = y\\
2x - y + m - 5 = 0\\
\left( {m - 1} \right)x + y - 6 = 0
\end{array} \right. \to \left\{ \begin{array}{l}
x = y\\
2x - x + m - 5 = 0\\
\left( {m - 1} \right)x + y - 6 = 0
\end{array} \right.\\
\to \left\{ \begin{array}{l}
x = y\\
x = 5 - m\\
\left( {m - 1} \right)\left( {5 - m} \right) + 5 - m - 6 = 0
\end{array} \right.\\
\to \left\{ \begin{array}{l}
x = y\\
x = 5 - m\\
- {m^2} + 6m - 5 + 5 - m - 6 = 0
\end{array} \right.\\
\to \left[ \begin{array}{l}
m = 3\\
m = 2
\end{array} \right.
\end{array}\)
