\[y = \frac{x - 2}{2x - 1};\ \ y = 1\]
\[\frac{x - 2}{2x - 1} = 1^{\backslash 2x - 1}\]
\[\frac{x - 2 - 2x + 1}{2x - 1} = 0\]
\[\frac{- x - 1}{2x - 1} = 0;\ \ \ \ x \neq 0,5\]
\[- x - 1 = 0\]
\[x = - 1.\]
\[Ответ:при\ x = - 1.\]