Đáp án:
Giải thích các bước giải:
\(\begin{array}{l}
\left\{ \begin{array}{l}
y = 2x - 1\\
mx + 6x - 3 = 5
\end{array} \right. \to \left\{ \begin{array}{l}
y = 2x - 1\\
x = \frac{8}{{m + 6}}
\end{array} \right.\\
\to \left\{ \begin{array}{l}
y = \frac{{16 - m - 6}}{{m + 6}}\\
x = \frac{8}{{m + 6}}
\end{array} \right. \to \left\{ \begin{array}{l}
y = \frac{{10 - m}}{{m + 6}}\\
x = \frac{8}{{m + 6}}
\end{array} \right.\\
Do:\left\{ \begin{array}{l}
x > 0\\
y > 0
\end{array} \right. \to \left\{ \begin{array}{l}
\frac{8}{{m + 6}} > 0\\
\frac{{10 - m}}{{m + 6}} > 0
\end{array} \right. \to \left\{ \begin{array}{l}
m + 6 > 0\\
10 - m > 0
\end{array} \right.\\
\to - 6 < m < 10
\end{array}\)