Решите уравнение:
а) $\frac{2x + 3}{5} - 8 = 0$;
б) $\frac{4x - 3}{5} = \frac{2x + 1}{2}$;
в) $\frac{x + 2}{3} + \frac{4x - 3}{2} - \frac{5 - x}{6} = 1$;
г) $3 - \frac{x + 1}{5} - \frac{x - 4}{2} + \frac{2x - 1}{10} = 0$.
$\frac{2x + 3}{5} - 8 = 0$
$\frac{2x + 3}{5} = 8$ |*5
2x + 3 = 40
2x = 40 − 3
2x = 37
$x = \frac{37}{2}$
$x = 18\frac{1}{2}$
$\frac{4x - 3}{5} = \frac{2x + 1}{2}$ |*10
2(4x − 3) = 5(2x + 1)
8x − 6 = 10x + 5
8x − 10x = 5 + 6
−2x = 11
$x = -\frac{11}{2}$
$x = -5\frac{1}{2}$
$\frac{x + 2}{3} + \frac{4x - 3}{2} - \frac{5 - x}{6} = 1$ |*6
2(x + 2) + 3(4x − 3) − (5 − x) = 6
2x + 4 + 12x − 9 − 5 + x = 6
15x = 6 − 4 + 9 + 5
15x = 16
$x = \frac{16}{15}$
$x = 1\frac{1}{15}$
$3 - \frac{x + 1}{5} - \frac{x - 4}{2} + \frac{2x - 1}{10} = 0$ |*10
30 − 2(x + 1) − 5(x − 4) + (2x − 1) = 0
30 − 2x − 2 − 5x + 20 + 2x − 1 = 0
−2x − 5x + 2x = −30 + 2 − 20 + 1
−5x = −47
$x = \frac{47}{5}$
$x = 9\frac{2}{5}$
Пожауйста, оцените решение