Question

СРОЧНО ПОМОГИТЕ Пожалуйста

Answer 1

379

$\frac{x + 1}{2} - \frac{5x}{12} = \frac{3}{4} \\ 6(x + 1) - 5x = 9 \\ 6x + 6 - 5x = 9 \\ x + 6 = 9 \\ x$

$x = 3$

380.

$\frac{2x + 1}{2} - \frac{3}{4} = \frac{7x}{8} \\ 4(2x + 1) - 6 = 7x \\ 8x + 4 - 6 = 7x \\ 8x - 2 - 7x = 0$

$x - 2 = 0 \\ x = 2$

381.

$\frac{1}{3} (4x + 2) = 2x - 1 \\ \frac{4}{3} x + \frac{2}{3} = 2x - 1$

$1 \frac{1}{3} x + \frac{2}{3} - 2x + 1 = 0 \\ - 1 \frac{2}{3} x + 1 \frac{2}{3} = 0$

$- 1 \frac{2}{3} x = - 1 \frac{2}{3} \\ x = - \frac{5}{3} \div ( - \frac{5}{3} ) \\ x = 1$

$382)2x - 12 = \frac{1}{4} (3x + 2) \\ 2x - 12 = \frac{3}{4} x + \frac{1}{2}$

$2x - 12 - \frac{3}{4} x - \frac{1}{2} = 0 \\ 1 \frac{1}{4} x - 12 \frac{1}{2} = 0$

$x = \frac{25}{2} \div \frac{5}{4} = \frac{25}{2} \times \frac{4}{5} = 10$

$383) \frac{1}{2} (5x + 2) = \frac{7}{2} (x - 6) \\ \frac{5}{2} x + 1 = \frac{7}{2} x - 21 \\ 2.5x + 1 = 3.5x - 21$

$2.5x + 1 - 3.5x + 21 = 0 \\ - x + 22 = 0 \\ - x = - 22 \\ x = 22$

$384) \frac{4}{3} x - \frac{32}{3} = 2x - \frac{4}{3} \\ 1 \frac{1}{3} x - 10 \frac{2}{3} = 2x - 1 \frac{1}{3}$

$1 \frac{1}{3} x - 10 \frac{2}{3} - 2x + 1 \frac{1}{3} = 0 \\ - \frac{2}{3} x - 9 \frac{1}{3} = 0$

$x = \frac{28}{3} \div ( - \frac{2}{3} ) = - \frac{28}{3} \times \frac{3}{2} \\ x = - 14$