3. Решите уравнение 5 5 a) x-11 33 6) y-12y=4름

3. Решите уравнение

a) $$ x - \frac{5}{11} = \frac{5}{33} $$

$$ x = \frac{5}{33} + \frac{5}{11} $$

$$ x = \frac{5}{33} + \frac{5 \cdot 3}{11 \cdot 3} $$

$$ x = \frac{5}{33} + \frac{15}{33} $$

$$ x = \frac{20}{33} $$

б) $$ y - \frac{7}{12} y = 4 \frac{1}{6} $$

$$ y(1 - \frac{7}{12}) = 4 \frac{1}{6} $$

$$ y(\frac{12}{12} - \frac{7}{12}) = 4 \frac{1}{6} $$

$$ y \cdot \frac{5}{12} = \frac{4 \cdot 6 + 1}{6} $$

$$ y \cdot \frac{5}{12} = \frac{25}{6} $$

$$ y = \frac{25}{6} : \frac{5}{12} $$

$$ y = \frac{25}{6} \cdot \frac{12}{5} $$

$$ y = \frac{25 \cdot 12}{6 \cdot 5} $$

$$ y = \frac{5 \cdot 5 \cdot 6 \cdot 2}{6 \cdot 5} $$

$$ y = 5 \cdot 2 $$

$$ y = 10 $$

Ответ: a) $$\frac{20}{33}$$, б) 10