Question

Daca x/y=4/9 , y nu este egal cu zero , atunci 3x+2y supra 5x +y este egal cu .... ?

Answer 1

x/y=4/9
9x=4y
x=4y/9
(3x+2y)/(5x+y)=
=(3*4y/9+2y) / 5*4y/9+y)=
=(4y/3+2y) /(20y/9+y) =
 =[(4y+6y)/3]/[(20y+9y)/9]=
 =[(10y/3]/[(29y)/9]= 
 =10y/3 × 9/29y= 
 =10 × 3/29= 
 =30/29