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МатематикаРешебник по алгебре 8 класс Мерзляк Задание 335
Задание 335
\[\boxed{\text{335\ (335).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\left\{ \begin{matrix} xy = - 1\ \ \ \\ x + 3y = 0 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\left\{ \begin{matrix} y = - \frac{1}{x} \\ y = - \frac{x}{3} \\ \end{matrix} \right.\ \]
\[y = - \frac{1}{x}\]
| \[x\] | \[1\] | \[2\] | \[\frac{1}{2}\] | \[- 1\] | \[- 2\] | \[- \frac{1}{2}\] |
|---|---|---|---|---|---|---|
| \[y\] | \[- 1\] | \[- \frac{1}{2}\] | \[- 2\] | \[1\] | \[\frac{1}{2}\] | \[2\] |
\[y = - \frac{x}{3}\]
| \[x\] | \[3\] | \[6\] |
|---|---|---|
| \[y\] | \[- 1\] | \[- 2\] |
\[Ответ:2\ решения.\]
\[2)\ \left\{ \begin{matrix} xy = - 1\ \ \ \ \\ x - 3y = 0 \\ \end{matrix} \right.\ \text{\ \ \ \ \ }\left\{ \begin{matrix} y = - \frac{1}{x} \\ y = \frac{x}{3}\text{\ \ \ \ \ } \\ \end{matrix} \right.\ \ \]
\[y = - \frac{1}{x}\]
| \[x\] | \[1\] | \[2\] | \[\frac{1}{2}\] | \[- 1\] | \[- 2\] | \[- \frac{1}{2}\] |
|---|---|---|---|---|---|---|
| \[y\] | \[- 1\] | \[- \frac{1}{2}\] | \[- 2\] | \[1\] | \[\frac{1}{2}\] | \[2\] |
\[y = \frac{x}{3}\]
| \[x\] | \[3\] | \[6\] |
|---|---|---|
| \[y\] | \[1\] | \[2\] |
\[Ответ:нет\ решений.\]
\[3)\ \left\{ \begin{matrix} xy = 6\ \ \ \ \ \ \ \ \ \\ 3x - 2y = 6 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} y = \frac{6}{x}\text{\ \ \ \ \ \ \ \ \ \ } \\ y = \frac{3x - 6}{2} \\ \end{matrix} \right.\ \ \]
\[y = \frac{6}{x}\]
| \[x\] | \[1\] | \[2\] | \[3\] | \[- 1\] | \[- 2\] | \[- 3\] |
|---|---|---|---|---|---|---|
| \[y\] | \[6\] | \[3\] | \[2\] | \[- 6\] | \[- 3\] | \[- 2\] |
\[y = \frac{3x - 6}{2}\]
| \[x\] | \[0\] | \[2\] |
|---|---|---|
| \[y\] | \[- 3\] | \[0\] |
\[Ответ:два\ решения.\ \]
