\[\left\{ \begin{matrix} y^{2} + 2x = 2 \\ x + y = 1\ \ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ }\left\{ \begin{matrix} x = 1 - y\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ y^{2} + 2 \cdot (1 - y) = 2 \\ \end{matrix} \right.\ \]
\[y^{2} + 2 - 2y - 2 = 0\]
\[y^{2} - 2y = 0\]
\[y(y - 2) = 0\]
\[y = 0;\ \ y = 2.\]
\[\left\{ \begin{matrix} y = 0 \\ x = 1 \\ \end{matrix} \right.\ \ \ \ \ \ или\ \ \ \left\{ \begin{matrix} y = 2\ \ \ \\ x = - 1 \\ \end{matrix} \right.\ \]
\[Ответ:(1;0);( - 1;2).\]