\[\boxed{\mathbf{773\ (773).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ \frac{4x - 1}{x - 2} = \frac{x + 5}{x - 2}\]
\[\frac{4x - 1}{x - 2} - \frac{x + 5}{x - 2} = 0\]
\[\frac{4x - 1 - x - 5}{x - 2} = 0;\ \ \ \ \ \ \ \ x \neq 2\]
\[3x = 6\]
\[x = 2\]
\[Ответ:нет\ корней.\]
\[y^{2} - 16 = 0\]
\[y^{2} = 16\]
\[y = - 4;\ \ \ \ \ y = 4\]
\[Ответ:y = - 4.\]
\[\ x \neq - 1;x \neq - 2\]
\[2x - 6 = 0\]
\[2x = 6\]
\[x = 3\]
\[Ответ:x = 3.\]
\[y + 4 - (y - 5) - 9 = 0\]
\[y + 4 - y + 5 - 9 = 0\]
\[0y = 0\]
\[Ответ:y - любое\ число,\ \]
\[кроме\ 5\ и\ ( - 4).\]