Решите уравнение:
а) $\frac{1}{3}x + 1 = 2 - \frac{1}{6}x$;
б) $2 - \frac{1}{5}x = \frac{1}{15}x - 2$;
в) $\frac{1}{4}x - 3 = \frac{1}{8}x + 5$;
г) $\frac{1}{21}x + 84 = 85 + \frac{1}{7}x$.
$\frac{1}{3}x + 1 = 2 - \frac{1}{6}x$ |*6
2x + 6 = 12 − x
2x + x = 12 − 6
3x = 6
x = 2
$2 - \frac{1}{5}x = \frac{1}{15}x - 2$ |*15
30 − 3x = x − 30
−3x − x = −30 − 30
−4x = −60
x = 15
$\frac{1}{4}x - 3 = \frac{1}{8}x + 5$ |*8
2x − 24 = x + 40
2x − x = 40 + 24
x = 64
$\frac{1}{21}x + 84 = 85 + \frac{1}{7}x$ |*21
x + 1764 = 1785 + 3x
x − 3x = 1785 − 1764
−2x = 21
$x = -\frac{21}{2}$
$x = -10\frac{1}{2}$
Пожауйста, оцените решение
