\[\left\{ \begin{matrix} x + 2y^{2} = 8 \\ x - y = 7\ \ \ \ \ \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} x = 7 + y\ \ \ \ \ \ \ \ \ \ \ \ \ \\ 7 + y + 2y^{2} = 8 \\ \end{matrix} \right.\ \]
\[2y^{2} + y - 1 = 0\]
\[D = 1 + 8 = 9\]
\[y_{1} = \frac{- 1 + 3}{4} = \frac{2}{4} = 0,5;\]
\[y_{2} = \frac{- 1 - 3}{4} = - 1;\]
\[x_{1} = 7 + 0,5 = 7,5;\]
\[x_{2} = 7 - 1 = 6.\]
\[Ответ:(7,5;0,5);\ \ (6; - 1).\]