Question

daca x supra y =3 supra 5 atunci:x+2y supra 2x+y este egal cu:​

Answer 1

Răspuns:

Explicație pas cu pas:

x/y = 3/5 ⇒   x = 3 y/5

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( x + 2 y ) / ( 2 x + y ) =  13/11

= ( 3 y/5 + 2 y ) / ( 2 ×3y/5 + y ) =

= ( 3 y/5 + 10 y/5 ) : ( 6 y/5 + 5y/y ) =

= ( 13 y/5 ) : ( 11 y /5 ) =

= ( 13 y/5 ) ( 5/11 y) =

= 13/11

________________________

Sau:

x/y = 3/5 ⇒ x/3 = y/5 = k ⇒ x = 3 k   si y = 5 k

( x + 2 y) / ( 2 x + y ) =

= ( 3 k + 10 k ) / ( 6 k + 5 k ) =

= 13 k / 11 k =

= 13/11

Answer 2

x/y=3/5=>x=3y/5

(x+2y)/(2x+y)=(3y/5+2y)/(6y/5+y)=(13y/5)/(11y/5)=13y/11y=13/11