Решим данные уравнения:
1) $$x + \frac{2}{7} = \frac{3}{5}$$
$$x = \frac{3}{5} - \frac{2}{7}$$
$$x = \frac{3 \cdot 7 - 2 \cdot 5}{5 \cdot 7}$$
$$x = \frac{21 - 10}{35}$$
$$x = \frac{11}{35}$$
2) $$\frac{31}{34} - x = \frac{12}{40}$$
$$x = \frac{31}{34} - \frac{12}{40}$$
$$x = \frac{31}{34} - \frac{3}{10}$$
$$x = \frac{31 \cdot 5 - 3 \cdot 17}{17 \cdot 10}$$
$$x = \frac{155 - 51}{170}$$
$$x = \frac{104}{170}$$
$$x = \frac{52}{85}$$
3) $$\frac{1}{5} - x = \frac{3}{21}$$
$$\frac{1}{5} - x = \frac{1}{7}$$
$$x = \frac{1}{5} - \frac{1}{7}$$
$$x = \frac{7 - 5}{35}$$
$$x = \frac{2}{35}$$
4) $$\frac{6}{7} - x = \frac{1}{3}$$
$$x = \frac{6}{7} - \frac{1}{3}$$
$$x = \frac{6 \cdot 3 - 1 \cdot 7}{7 \cdot 3}$$
$$x = \frac{18 - 7}{21}$$
$$x = \frac{11}{21}$$
Ответы:
1) x = 11/35
2) x = 52/85
3) x = 2/35
4) x = 11/21