Решите уравнения: a) 3,4 = 1 ; x+8 x 2 5 6) 8x:1==4:.

Решим уравнения:

a) $$ \frac{3.4}{x+8} = \frac{1}{x} $$

$$ 3.4x = x + 8 $$

$$ 3.4x - x = 8 $$

$$ 2.4x = 8 $$

$$ x = \frac{8}{2.4} $$

$$ x = \frac{80}{24} $$

$$ x = \frac{10}{3} $$

$$ x = 3\frac{1}{3} $$

б) $$ 8x : 1\frac{1}{7} = 4\frac{2}{3} : \frac{5}{12} $$

$$ 8x : \frac{8}{7} = \frac{14}{3} : \frac{5}{12} $$

$$ 8x = \frac{14}{3} : \frac{5}{12} \cdot \frac{8}{7} $$

$$ 8x = \frac{14}{3} \cdot \frac{12}{5} \cdot \frac{8}{7} $$

$$ 8x = 2 \cdot 4 \cdot \frac{8}{5} $$

$$ 8x = \frac{64}{5} $$

$$ x = \frac{64}{5} : 8 $$

$$ x = \frac{64}{5} \cdot \frac{1}{8} $$

$$ x = \frac{8}{5} $$

$$ x = 1\frac{3}{5} $$

Ответ: a) $$x=3\frac{1}{3}$$, б) $$x=1\frac{3}{5}$$