№ 6. Решите уравнение: а) 12,8x = 29,44 б) $$6\frac{1}{7}+2\frac{2}{x}=8\frac{1}{14}$$

a) $$12,8x = 29,44$$ $$x = \frac{29,44}{12,8} = 2,3$$ б) $$6\frac{1}{7}+2\frac{2}{x}=8\frac{1}{14}$$ $$6\frac{1}{7}+2\frac{2}{x}=8\frac{1}{14}$$ $$2\frac{2}{x} = 8\frac{1}{14} - 6\frac{1}{7}$$ $$2\frac{2}{x} = 8\frac{1}{14} - 6\frac{2}{14}$$ $$2\frac{2}{x} = 2\frac{-1}{14}$$ $$2\frac{2}{x} = 1\frac{13}{14}$$ $$2\frac{2}{x} = \frac{27}{14}$$ $$\frac{2x+2}{x}=\frac{27}{28}$$ $$28 \cdot (2x+2)= 27x$$ $$56x + 56 = 27x$$ $$56x - 27x = -56$$ $$29x = -56$$ $$x = -\frac{56}{29} = -1 \frac{27}{29}$$ Ответ: а) x = 2,3, б) x = $$-1 \frac{27}{29}$$