Question

Найдите корень уравнений

Answer 1

16)
$\frac{1}{3x - 5} = 1 \\ 3x - 5 = 1 \\ 3x = 1 + 5 \\ 3x = 6 \\ x = 2$
17)
$\frac{1}{5x + 1} = 5 \\ 5x + 1 = \frac{1}{5} \\ 5x = \frac{1}{5} - 1 = - \frac{4}{5} \\ x = - \frac{4}{25}$
18)
$\frac{1}{10x - 9} = 5 \\ 10x - 9 = \frac{1}{5} \\ 10x = 9 + \frac{1}{5} = \frac{46}{5} \\ x = \frac{46}{50} = \frac{23}{25}$
19)
$\frac{1}{2x + 3} = 5 \\ 2x + 3 = \frac{1}{5} \\ 2x = \frac{1}{5} - 3 = - \frac{14}{5} \\ x = - \frac{14}{10} = - \frac{7}{5}$