\[\boxed{\text{1046\ (1046).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[x + y = xy,\ \ где\ \]
\[x\ и\ y - целые\ числа\]
\[\text{xy} - x - y = 0\]
\[x(y - 1) - y = 0\]
\[x(y - 1) - (y - 1) = 1\]
\[(y - 1)(x - 1) = 1\]
\[\left\{ \begin{matrix} y = 2 \\ x = 2 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }\left\{ \begin{matrix} y = 0 \\ x = 0 \\ \end{matrix} \right.\ \]
\[Ответ:(2;2),\ (0;0)\text{.\ }\]