Question

Решить уравнение : 12×(1,3/4Х+5/8)=-6,1/2

Answer 1

12 * (1 3/4х + 5/8) = - 6 1/2
1 3/4х + 5/8 = - 6 1/2 : 12
7/4х + 5/8 = -13/2 * 1/12
7/4х + 5/8 = - 13/24
7/4х = - 13/24 - 5/8
7/4х = - 13/24 - 15/24
7/4х = - 28/24
х = - 28/24 : 7/4
х = - 28/24 * 4/7
х = - 28*4/24*7
х = - 4*4/24
х = - 16/24
х = - 2/3

проверка:
12 * (1 3/4 * (- 2/3) + 5/8) = - 6 1/2
12 * (- 7/4 * 2/3 + 5/8) = - 13/2
12 * (- 14/12 + 5/8) = - 13/2
12 * (- 84/72 + 45/72) = - 13/2
12 * (- 39/72) = - 13/2
- 39*12/72 = - 13/2
- 39/6 = - 13/2
- 13/2 = - 13/2