Đáp án: x=14;y=4
Giải thích các bước giải:
$\begin{array}{l}
\left\{ \begin{array}{l}
\frac{3}{{x - 13}} + \frac{5}{{y - 3}} = 8\left( {x \ne 13;y \ne 3} \right)\\
\frac{{2x - 25}}{{x - 13}} + \frac{{y - 2}}{{y - 3}} = 5
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
\frac{3}{{x - 13}} + \frac{5}{{y - 3}} = 8\\
\frac{{2x - 26 + 1}}{{x - 13}} + \frac{{y - 3 + 1}}{{y - 3}} = 5
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
\frac{3}{{x - 13}} + \frac{5}{{y - 3}} = 8\\
2 + \frac{1}{{x - 13}} + 1 + \frac{1}{{y - 3}} = 5
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
3.\frac{1}{{x - 13}} + 5.\frac{1}{{y - 3}} = 8\\
\frac{1}{{x - 13}} + \frac{1}{{y - 3}} = 2
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
\frac{1}{{x - 13}} = 1\\
\frac{1}{{y - 3}} = 1
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
x = 14\\
y = 4
\end{array} \right.
\end{array}$
