Hệ phương trình tọa độ giao điểm:
\(\left\{{}\begin{matrix}x-2y=2m-7\\x+y=2\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}3y=-2m+9\\x+y=2\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}y=-\dfrac{2}{3}m+3\\x+y=2\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{2}{3}m-1\\y=-\dfrac{2}{3}m+3\end{matrix}\right.\)
Để \(x>0;y>0\Rightarrow\left\{{}\begin{matrix}\dfrac{2}{3}m-1>0\\-\dfrac{2}{3}m+3>0\end{matrix}\right.\)
\(\Rightarrow\dfrac{3}{2}< m< \dfrac{9}{2}\)
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