Решите систему уравнений: x+2y=7; xy+2y^2=14.

\[\left\{ \begin{matrix} x + 2y = 7\ \ \ \ \ \ \ \\ xy + 2y^{2} = 14 \\ \end{matrix} \right.\ \text{\ \ }\]

\[\left\{ \begin{matrix} x + 2y = 7\ \ \ \ \ \ \ \ \ \\ y(x + 2y) = 14 \\ \end{matrix} \right.\ \]

\[\left\{ \begin{matrix} x = 7 - 2y \\ y \cdot 7 = 14\ \ \\ \end{matrix} \right.\ \]

\[\left\{ \begin{matrix} y = 2\text{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\ x = 7 - 4 = 3 \\ \end{matrix} \right.\ \]

\[Ответ:(3;2).\]