3 Решить уравнение: а) x : 6 = 5\frac{7}{24} 6) (\frac{6}{7}x-\frac{1}{3}) * 21 = 32

3 Решить уравнение:

a) $$ x : 6 = 5\frac{7}{24} $$

$$ x = 5\frac{7}{24} \cdot 6 $$

$$ x = \frac{127}{24} \cdot 6 $$

$$ x = \frac{127 \cdot 6}{24} $$

$$ x = \frac{127}{4} $$

$$ x = 31\frac{3}{4} $$

б) $$ (\frac{6}{7}x-\frac{1}{3}) \cdot 21 = 32 $$

$$ \frac{6}{7}x-\frac{1}{3} = \frac{32}{21} $$

$$ \frac{6}{7}x = \frac{32}{21} + \frac{1}{3} $$

$$ \frac{6}{7}x = \frac{32}{21} + \frac{1 \cdot 7}{3 \cdot 7} $$

$$ \frac{6}{7}x = \frac{32}{21} + \frac{7}{21} $$

$$ \frac{6}{7}x = \frac{39}{21} $$

$$ x = \frac{39}{21} : \frac{6}{7} $$

$$ x = \frac{39}{21} \cdot \frac{7}{6} $$

$$ x = \frac{39 \cdot 7}{21 \cdot 6} $$

$$ x = \frac{13}{3} \cdot \frac{1}{2} $$

$$ x = \frac{13}{6} $$

$$ x = 2\frac{1}{6} $$

Ответ: а) $$31\frac{3}{4}$$; б) $$2\frac{1}{6}$$