Вопрос:

Решите уравнение: 8,5/(x-2,6)=5/(x+0,8).

Ответ:

\[\frac{8,5}{x - 2,6} = \frac{5}{x + 0,8}\]

\[\ x \neq 2,6;x \neq - 0,8;\]

\[8,5(x + 0,8) = 5(x - 2,6)\]

\[8,5x + 6,8 = 5x - 13\]

\[8,5x - 5x = - 13 - 6,8\]

\[3,5x = - 19,8\]

\[x = - \frac{19,8}{3,5} = - \frac{198}{35}\]

\[x = - 5\frac{23}{35}.\]