Question

daca x supra y = 2 supra 3, atunci 3x + 2y supra x + 3y =?

Answer 1

x/y=2/3 =>x=2y/3
[(3•2y/3)+2y]/(2y/3 + 3y) =
4y : 11y/3 =
4y • 3/11y =
12/11

Answer 2

Răspuns

( 3 x + 2 y ) / ( x + 3 y ) =  12 / 11

Explicație pas cu pas:

x / y = 2 / 3 ⇒  2 y = 3 x  ⇒  y = 3 x / 2

( 3 x + 2 y ) / ( x + 3 y ) =  12 / 11

= ( 3 x + 2 × 3 x / 2 ) / ( x + 3 × 3 x / 2 ) =

= 6 x / ( 2 x / 2 + 9 x / 2 ) =

= 6 x / (11 x / 2)=

= 6 x : (11 x / 2) =

= 6 x ·  (2 / 11 x) =

= 12 / 11