Question

Решите уравнения:
a) 1/4 - 1/3 m = 4 1/4 - 3 m
b) 2 2/5 x - 3,54 = 0,19 x - 2,89

Answer 1

a) Ответ: 1 4/9

$\frac{1}{4} - \frac{1}{3} m = 4 \frac{1}{4} - 3m \\ - \frac{1}{3} m + 3m = \frac{17}{4} - \frac{1}{4} \\ \frac{ - 1 + 9m}{3} = \frac{16}{4} \\ \frac{ - 1 + 9m}{3} = 4 \\ - 1 + 9m = 12 \\ 9m = 13 \\ m = \frac{13}{9} = 1 \frac{4}{9}$

b) Ответ: 65/221

$2 \frac{2}{5} x - 3.54 = 0.19x - 2.89 \\ \frac{12}{5} x - 3.54 = 0.19x - 2.89 \\ 2.4x - 0.19x = - 2.89 + 3.54 \\ 2.21x = 0.65 \\ x = \frac{65}{221}$