вправа 1054 гдз 7 клас алгебра Мерзляк Полонський
7 клас ➠ алгебра ➠ Мерзляк Полонський
Вправа 1054
Відповідь:
\begin{equation}1)\left\{\begin{matrix}
\left ( 2x+1 \right )^{2}-\\
-\left ( 2x-y \right )\left ( 2x+y \right )=\\
=\left ( y+8 \right )\left ( y-10 \right ),\\
4x\left ( x-5 \right )-\\
-\left ( 2x-3 \right )\left ( 2x-9 \right )=\\
=6y-104;
\end{matrix}\right.
\end{equation}
\begin{equation}\left\{\begin{matrix}
4x^{2}+4x+1-\\
-4x^{2}+y^{2}=\\
=y^{2}-2y-80,\\
4x^{2}-20x-4x^{2}+\\\
+24x-27=\\
=6y-104;
\end{matrix}\right.
\end{equation}
\begin{equation}-\left\{\begin{matrix}
4x+2y=-81,\\4x-6y=-77;
\end{matrix}\right.
\end{equation}
\begin{equation}\left\{\begin{matrix}
8y=-4,\\4x=-77+6y;
\end{matrix}\right.
\end{equation}
\begin{equation}\left\{\begin{matrix}
y=-0,5,\\x=-20;
\end{matrix}\right.
\end{equation}
\begin{equation}2)\left\{\begin{matrix}
\left ( x-2 \right )\left ( x^{2}+2x+4 \right )-\\
-x\left ( x-4 \right )\left ( x+4 \right )=\\
=20-20y,\\
\left ( 3x-2 \right ) \left ( 4y+5 \right )=\\
=2y\left ( 6x-1 \right )-58;
\end{matrix}\right.
\end{equation}
\begin{equation}\left\{\begin{matrix}
x^{3}-8-x^{3}+16x=\\
=20-20y,\\
12xy+15x-8y-10=\\
=12xy-2y-58;
\end{matrix}\right.
\end{equation}
\begin{equation}\left\{\begin{matrix}
16x+20y=28,\\15x-6y=-48;
\end{matrix}\right.
\end{equation}
\begin{equation}\left\{\begin{matrix}
4x+5y=7,\\5x-2y=-16;
\end{matrix}\right.
\end{equation}
\begin{equation}+\left\{\begin{matrix}
8x+10y=14,\\25x-10y=-80;
\end{matrix}\right.
\end{equation}
\begin{equation}\left\{\begin{matrix}
33x=-66,\\2y=5x+16;
\end{matrix}\right.
\end{equation}
\begin{equation}\left\{\begin{matrix}
x=-2,\\y=3.
\end{matrix}\right.
\end{equation}