Решите уравнение: 2)10/6-x=4/x+2

Question

Решите уравнение: 2)10/6-x=4/x+2

Answer 1

10/(6-х) = 4/(х+2)
10(х+2) = 4(6-х)
10х + 20 = 24 - 4х
10х + 4х = 24 - 20
14х = 4
х = 4/14 =2/7
Ответ: х = 2/7

Проверка:
10/(6 - 2/7) = 4/(2/7 +2)
10/(42/7 - 2/7) = 4/(2/7 + 14/7)
10/(40/7) = 4/(16/7)
7/4 = 7/4