\[\left\{ \begin{matrix} y = x^{2} - 6x \\ x - y = 6\ \ \ \ \\ \end{matrix} \right.\ \Longrightarrow \left\{ \begin{matrix} y = x^{2} - 6x \\ y = x - 6\ \ \ \ \\ \end{matrix} \right.\ \]
\[x = 6;\ \ x = 1.\]
\[Ответ:(1;\ - 5);(6;0).\]