Đáp án:
\[\left\{ \begin{array}{l}
x = - \frac{{79}}{{511}}\\
y = - \frac{{51}}{{73}}
\end{array} \right.\]
Giải thích các bước giải:
Ta có:
\(\begin{array}{l}
\left\{ \begin{array}{l}
\left( {x - 3} \right)\left( {2y + 5} \right) = \left( {2x + 7} \right)\left( {y - 1} \right)\\
\left( {4x + 1} \right)\left( {3y - 6} \right) = \left( {6x - 1} \right)\left( {2y + 3} \right)
\end{array} \right.\\
\Leftrightarrow \left\{ \begin{array}{l}
2xy + 5x - 6y - 15 = 2xy - 2x + 7y - 7\\
12xy - 24x + 3y - 6 = 12xy + 18x - 2y - 3
\end{array} \right.\\
\Leftrightarrow \left\{ \begin{array}{l}
7x - 13y = 8\\
- 42x + 5y = 3
\end{array} \right.\\
\Leftrightarrow \left\{ \begin{array}{l}
42x - 78y = 48\\
- 42x + 5y = 3
\end{array} \right.\\
\Rightarrow \left( {42x - 78y} \right) + \left( { - 42x + 5y} \right) = 48 + 3\\
\Leftrightarrow - 73y = 51 \Rightarrow y = \frac{{ - 51}}{{73}} \Rightarrow x = - \frac{{79}}{{511}}
\end{array}\)
