Решить уравнение
2/15
----------------- - 1/12 = 1/24 ⇔
(1/5)x -1/3
2/15 2/15 2/15 1
----------------- = 1/24+ 1/12 ⇔ ------------- = (1/24+2/24 ) ⇔ ------------- = --
(1/5)x -1/3 (1/5)x -1/3 (1/5)x -1/3 8
⇔(2/15)·8=1·[(1/5)x -1/3 ] ⇔ 16/15=(1/5)x-1/3 ⇔21/15 =(1/5)x
⇔x=(7/5)·5 x=7
проверка
(2/15) /[7/5-1/3] -(1/12)=(2/15) /[(21-5)/15] -(1/12)=(2·15)/(15·16) -1/12=
1/8-1/12=(3-2)/24=1/12 верно