\[\begin{array}{l} {\text{Решите систему уравнений:}} \hfill \\ \left\{ \begin{array}{l} \frac{{{{\left( {x + y} \right)}^5} + {{\left( {x - y} \right)}^5}}}{{{{\left( {x + y} \right)}^5} - {{\left( {x - y} \right)}^5}}} = \frac{{122}}{{121}} \hfill \\ {x^2} + xy + {y^2} + x + y = 10 \hfill \\ \end{array} \right. \hfill \\ \end{array}\]

\[\begin{array}{l} {\text{Решить систему уравнений}} \hfill \\ \left\{ \begin{array}{l} x\sqrt {{y^2} - 1} + y\sqrt {{x^2} - 1} = 3\sqrt {{x^2} + {y^2} - 2} \hfill \\ {x^2} + {y^2} = 9 \hfill \\ \end{array} \right. \hfill \\ \end{array}\]