Question

Решите уравнение:
1/6х-0.82=3/8х-1.37

Answer 1

Объяснение:

$\frac{1}{6x} - 0.82 = \frac{3}{8x} - 1.37 \\ \frac{1}{6x} - \frac{41}{50} = \frac{3}{x} - \frac{137}{100} \\ \frac{1}{6x} - \frac{3}{8x} = - \frac{137}{100} + \frac{41}{50} \\ - \frac{ 5}{24x} = \frac{137}{100} + \frac{41}{50} \\ - \frac{5}{24x} = - \frac{11}{20} \\ \frac{5}{24x} = \frac{11}{20} \\ 100 = 364x \\ 24x = 100 \\ x = \frac{25}{66}$