119. 1) x + 0,75 + 5/8 = 2,125; 2) x + 7/12 = 1/3 + 0,5 * 1 2/3; 3) 1 3/4 - (0,7 - 2 1/2 * x) = 1,17; 4) (2,4 * x + 1 2/3) - 5/6 = 5 19/30.

Предмет: Математика. Класс: 6-7. Решаем уравнения. 1) \(x + 0.75 + \frac{5}{8} = 2.125\) \(x + 0.75 + 0.625 = 2.125\) \(x + 1.375 = 2.125\) \(x = 2.125 - 1.375\) \(x = 0.75\) 2) \(x + \frac{7}{12} = \frac{1}{3} + 0.5 \cdot 1\frac{2}{3}\) \(x + \frac{7}{12} = \frac{1}{3} + \frac{1}{2} \cdot \frac{5}{3}\) \(x + \frac{7}{12} = \frac{1}{3} + \frac{5}{6}\) \(x + \frac{7}{12} = \frac{2}{6} + \frac{5}{6}\) \(x + \frac{7}{12} = \frac{7}{6}\) \(x = \frac{7}{6} - \frac{7}{12}\) \(x = \frac{14}{12} - \frac{7}{12}\) \(x = \frac{7}{12}\) 3) \(1\frac{3}{4} - (0.7 - 2\frac{1}{2} \cdot x) = 1.17\) \(1.75 - (0.7 - 2.5x) = 1.17\) \(1.75 - 0.7 + 2.5x = 1.17\) \(1.05 + 2.5x = 1.17\) \(2.5x = 1.17 - 1.05\) \(2.5x = 0.12\) \(x = \frac{0.12}{2.5}\) \(x = 0.048\) 4) \((2.4 \cdot x + 1\frac{2}{3}) - \frac{5}{6} = 5\frac{19}{30}\) \((2.4x + \frac{5}{3}) - \frac{5}{6} = \frac{169}{30}\) \(2.4x + \frac{5}{3} = \frac{169}{30} + \frac{5}{6}\) \(2.4x + \frac{5}{3} = \frac{169}{30} + \frac{25}{30}\) \(2.4x + \frac{5}{3} = \frac{194}{30}\) \(2.4x = \frac{194}{30} - \frac{5}{3}\) \(2.4x = \frac{194}{30} - \frac{50}{30}\) \(2.4x = \frac{144}{30}\) \(2.4x = \frac{24}{5}\) \(x = \frac{24}{5} : 2.4\) \(x = \frac{24}{5} : \frac{12}{5}\) \(x = \frac{24}{5} \cdot \frac{5}{12}\) \(x = 2\)

Ответ: 1) x = 0.75; 2) x = 7/12; 3) x = 0.048; 4) x = 2

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