Question

[(x×3/2-1/3):13/5-1/4]×3+7/4=2 (metoda mersului invers) ​

Answer 1

Răspuns: x = 4/5

Explicație pas cu pas:

[(x × 3/2 - 1/3) : 13/5 - 1/4] × 3 + 7/4=2

[(x × 3/2 - 1/3) : 13/5 - 1/4] × 3 = 2 - 7/4 = ( 8 - 7 ) / 4= 1/4

(x × 3/2 - 1/3) : 13/5 - 1/4 = (1/4) : 3 = (1/4) × 1/3 = 1/12

(x × 3/2 - 1/3) : 13/5 = 1/12 + 1/4 = (1+3)/12 = 4/12 = 1/3

x × 3/2 - 1/3 = (1/3) × ( 13/5) = 13/15

x × 3/2= 13/15 + 1/3 = ( 13 + 5 )/15= 18/15 = 6/5

x = 6/5 : ( 3/2) = 6/5 × ( 2/3) = 4/5

x = 4/5