Question

3 9/14 * x - 2 17/21 * x = 1 1/9

Answer 1

Ответ:

x = 1 1/3

Пошаговое объяснение:

$3\frac{9}{14}x - 2\frac{17}{21}x = 1\frac{1}{9}\\x(3\frac{9}{14} - 2\frac{17}{21}) = 1\frac{1}{9}\\x = 1\frac{1}{9} : (3\frac{9}{14} - 2\frac{17}{21})\\\\3\frac{9}{14} - 2\frac{17}{21} = \frac{51}{14} - \frac{59}{21} = \frac{153}{42} - \frac{118}{42} = \frac{35}{42} = \frac{5}{6}\\\\1\frac{1}{9} : \frac{5}{6} = \frac{10}{9} : \frac{5}{6} = \frac{10*6}{9*5} = \frac{60}{45} = \frac{4}{3} = 1\frac{1}{3}\\\\x = 1\frac{1}{3}$