\[\begin{array}{l} xy = 5\left( {x + y} \right) + 44 \Leftrightarrow y = \frac{{5x + 44}}{{x - 5}} \Leftrightarrow y = 5 + \frac{{69}}{{x - 5}} \Rightarrow \left[ \begin{array}{l} x = 6 \hfill \\ x = 8 \hfill \\ x = 28 \hfill \\ x = 74 \hfill \\ \end{array} \right. \hfill \\ \left( {6;74} \right);{\text{ }}\left( {8;28} \right) \hfill \\ \end{array}\]

\[\left( {6;74} \right);{\text{ }}\left( {8;28} \right)\]