\[\boxed{\text{336\ (336).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\left\{ \begin{matrix} xy = - 8\ \ \ \ \ \ \ \\ 2x + 3y = 6 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} y = - \frac{8}{x}\text{\ \ \ \ \ \ } \\ y = \frac{6 - 2x}{3} \\ \end{matrix} \right.\ \]
\[y = - \frac{8}{x}\]
\[x\] | \[2\] | \[4\] | \[8\] | \[- 2\] | \[- 4\] | \[- 8\] |
---|---|---|---|---|---|---|
\[y\] | \[- 4\] | \[- 2\] | \[- 1\] | \[4\] | \[2\] | \[1\] |
\[y = \frac{6 - 2x}{3}\]
\[x\] | \[0\] | \[3\] |
---|---|---|
\[y\] | \[2\] | \[0\] |
\[Ответ:2\ решения.\]
\[\boxed{\text{336.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ A\ ( - 5;4):\ \]
\[4 = \frac{k}{- 5}\ \]
\[k = - 5 \cdot 4 = - 20.\ \]
\[2)\ B\ \left( \frac{1}{6};\ - 2 \right):\ \ \]
\[- 2 = \frac{k}{\frac{1}{6}}\]
\[k = - 2 \cdot \frac{1}{6} = - \frac{1}{3}.\]
\[3)\ \text{C\ }(1,5;\ - 8):\ \ \]
\[- 8 = \frac{k}{1,5}\text{\ \ }\]
\[k = - 8 \cdot 1,5 = - 12.\]