Question

1158.
Решите уравнения:
х
х x 1
3 4 6
x - 1
1)
IN
2)
х+6
3)
4
4+x.
3
6.
2.
х
2x – 3
4)
3+х
8
=
5)
х+21+ x
6 8.
=
;
6)
=
x - 2
3
5
5
F​

Answer 1

Ответ:

$\frac{x}{3} - \frac{x}{4} = \frac{1}{6} \\ 4x - 3x = 2 \\ x = 2$

$\frac{x}{4} = \frac{x - 1}{6} \\ 3x = 2x - 2 \\ 3x - 2x = - 2 \\ x = - 2$

$\frac{x + 6}{2} = \frac{4 + x}{3} \\ 3x + 18 = 8 + 2x \\ 3x - 2x = 8 - 18 \\ x = - 10$

$\frac{3 + x}{8} = \frac{x}{5} \\ 15 + 5x = 8x \\ 5x - 8x = - 15 \\ - 3x = - 15 \\ x = 5$

$\frac{x + 2}{6} = \frac{1 + x}{8} \\ 4x + 8 = 3 + 3x \\ 4x - 3x = 3 - 8 \\ x = - 5$

$\frac{2x - 3}{5} = \frac{x - 2}{3} \\ 6x - 9 = 5x - 10 \\ 6x - 5x = 9 - 10 \\ x = - 1$