Решите уравнения: a)(x-)+3=5; б) 4-(1,375-x)=3

а) $$\left(x - \frac{7}{8}\right) + 3\frac{11}{24} = 5\frac{1}{12}$$

$$x - \frac{7}{8} = 5\frac{1}{12} - 3\frac{11}{24}$$

$$x - \frac{7}{8} = 5\frac{2}{24} - 3\frac{11}{24}$$

$$x - \frac{7}{8} = 4\frac{26}{24} - 3\frac{11}{24}$$

$$x - \frac{7}{8} = 1\frac{15}{24}$$

$$x - \frac{7}{8} = 1\frac{5}{8}$$

$$x = 1\frac{5}{8} + \frac{7}{8}$$

$$x = 1\frac{12}{8}$$

$$x = 1 + 1\frac{4}{8}$$

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

б) $$4\frac{1}{6} - (1,375 - x) = 3\frac{5}{12}$$

$$4\frac{1}{6} - 1,375 + x = 3\frac{5}{12}$$

$$4\frac{1}{6} - 1\frac{3}{8} + x = 3\frac{5}{12}$$

$$4\frac{4}{24} - 1\frac{9}{24} + x = 3\frac{10}{24}$$

$$3\frac{28}{24} - 1\frac{9}{24} + x = 3\frac{10}{24}$$

$$2\frac{19}{24} + x = 3\frac{10}{24}$$

$$x = 3\frac{10}{24} - 2\frac{19}{24}$$

$$x = 2\frac{34}{24} - 2\frac{19}{24}$$

$$x = \frac{15}{24}$$

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

Ответ:

• $$x = 2\frac{1}{2}$$
• $$x = \frac{5}{8}$$