Решебник по алгебре 9 класс Мерзляк Задание 447

\[\boxed{\text{447\ (447).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

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

\[y = \frac{x - 1}{2}\text{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }y = x - 2\]

\[Ответ:(3;1).\]

\[2)\ \left\{ \begin{matrix} x + y = - 5 \\ 4x - y = - 5 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} y = - 5 - x \\ y = 4x + 5 \\ \end{matrix} \right.\ \]

\[y = - 5 - x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ y = 4x + 5\ \]

\[Ответ:( - 2;\ - 3).\]

\[\boxed{\text{447.\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[y = x^{2} + px + q\]

\[\text{M\ }( - 1;4);\ \ \text{K\ }(2;10):\]

\[\left\{ \begin{matrix} 1 - p + q = 4\ \ \ \ \\ 4 + 2p + q = 10 \\ \end{matrix} \right.\ \text{\ \ \ \ \ }\]

\[\ \left\{ \begin{matrix} - p + q = 3 \\ 2p + q = 6 \\ \end{matrix} \right.\ | -\]

\[\left\{ \begin{matrix} - 3p = - 3 \\ 2p + q = 6 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\left\{ \begin{matrix} p = 1\ \ \ \ \ \ \\ 2 + q = 6 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\]

\[\text{\ \ }\left\{ \begin{matrix} p = 1 \\ q = 4 \\ \end{matrix} \right.\ \]

\[Ответ:p = 1;\ \ q = 4.\]