Решите систему уравнений y^2-xy=33; x-y=11.

\[\left\{ \begin{matrix}
y^{2} - xy = 33 \\
x - y = 11\ \ \ \ \ \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\left\{ \begin{matrix}
x = 11 + y\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\
y^{2} - y(11 + y) = 33 \\
\end{matrix} \right.\ \]

\[y^{2} - 11y - y^{2} = 33\]

\[- 11y = 33\]

\[y = - 3.\]

\[\left\{ \begin{matrix}
y = - 3\ \ \ \ \ \ \ \ \ \\
x = 11 - 3\ \ \ \\
\end{matrix} \right.\ \text{\ \ \ \ \ }\left\{ \begin{matrix}
y = - 3 \\
x = 8\ \ \ \\
\end{matrix} \right.\ \]

\[Ответ:(8; - 3).\]