Вопрос:

Решите графическую систему уравнений:

Ответ:

\[\left\{ \begin{matrix} xy = 4\ \ \ \ \ \ \ \ \ \ \ \\ 2x - y = - 2 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\left\{ \begin{matrix} y = \frac{4}{x}\text{\ \ \ \ \ \ \ \ \ \ } \\ y = 2x + 2 \\ \end{matrix} \right.\ \]

\[y = \frac{4}{x}\]

\[x\] \[- 4\] \[- 2\] \[- 1\] \[1\] \[2\] \[4\]
\[y\] \[- 1\] \[- 2\] \[- 4\] \[4\] \[2\] \[1\]

\[y = 2x + 2\]

\[x\] \[- 1\] \[0\] \[1\] \[2\]
\[y\] \[0\] \[2\] \[4\] \[6\]

\[Ответ:(1;4);\ \ ( - 2;\ - 2).\]

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