Đáp án:
Giải thích các bước giải:
\(\begin{array}{l}
m = 5\\
Hpt \to \left\{ \begin{array}{l}
3x + 2y = 4\\
2x - y = 5
\end{array} \right. \to \left\{ \begin{array}{l}
x = 2\\
y = - 1
\end{array} \right.\\
Có :\left\{ \begin{array}{l}
y = 2x - m\\
3x + 4x - 2m = 4
\end{array} \right. \to \left\{ \begin{array}{l}
y = 2x - m\\
7x - 2m = 4
\end{array} \right.\\
\to \left\{ \begin{array}{l}
y = 2x - m < 1\\
x = \frac{{4 + 2m}}{7} < 1
\end{array} \right. \to \left\{ \begin{array}{l}
\frac{{8 + 4m - 7m - 7}}{7} < 0\\
\frac{{4 + 2m - 7}}{7} < 0
\end{array} \right.\\
\to \left\{ \begin{array}{l}
1 - 3m < 0\\
2m - 3 < 0
\end{array} \right. \to \left\{ \begin{array}{l}
\frac{1}{3} < m\\
m < \frac{3}{2}
\end{array} \right. \to \frac{1}{3} < m < \frac{3}{2}
\end{array}\)
