Решите с помощью графиков систему уравнений: 2x+y=5; x+2y=0.

Question

Вопрос:

Ответ:

Accepted Answer

\[\left\{ \begin{matrix} 2x + y = 5 \\ x + 2y = 0 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} y = 5 - 2x \\ 2y = - x\ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} y = 5 - 2x\ \ (1) \\ y = - \frac{1}{2}x\ \ \ \ \ (2) \\ \end{matrix} \right.\ \]

\[(1)\ y = 5 - 2x\]

\[x\]	\[0\]	\[1\]
\[y\]	\[5\]	\[3\]

\[(2)\ y = - 0,5x\]

\[x\]	\[0\]	\[2\]
\[y\]	\[0\]	\[- 1\]

\[Ответ:(3,5;\ - 1,8).\]