\[\boxed{\text{1069\ (1069).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ \left\{ \begin{matrix} \frac{2}{x} + \frac{5}{y} = 15\ \ | \cdot \text{xy} \neq 0 \\ \frac{3}{x} + \frac{8}{y} = 23\ \ \ | \cdot \text{xy} \neq 0 \\ \end{matrix} \right.\ \]
\[Ответ:(0,2;1).\]
\[- 25y - 25y^{2} = 0,\ \ \]
\[25y \cdot (1 + y) = 0,\]
\[y \neq 0,\ \ y = - 1\]
\[x = - y = 1\]
\[Ответ:(1;\ - 1)\text{.\ }\]