Решите уравнение: (1целая5/18-2целых4/27)×5.4x=9целых1/2+2 целых 1/4

Question

Решите уравнение: (1целая5/18-2целых4/27)×5.4x=9целых1/2+2
целых 1/4

Answer 1

( 23/18 - 58/27)×(54/10) x = 9.5·x + 2.25
(23·3 - 58·2)/54 ·(54/10)·x= 9.5·x+2.25
(69 - 116)/54 · (54/10)·x = 9.5·x+2.25
(-47/54)·(54/10)·x = 9.5·x + 2.25
 - 4.7·x - 9 .5·x = 2.25
- 14.2 x =2.25
x = 2.25 : ( - 14.2) = - 225 :1420=- 45 : 284 = - (45/284)