Răspuns:
Explicație pas cu pas:
[ x; y ] i. p. [ 2, 5 ]
x/ ( 1/2) = y/(1/5) = k
2 x = 5 y = k ⇒ x = k/2 si y = k/5
_____________________________
( x + 3 y ) / ( 3 x + y ) = 11/17
= ( k/2 + 3 × k/5 ) / ( 3 × k/2 + k/5 ) =
= ( 5 k/10 + 6 k/10 ) / ( 15 k /10 + 2 k/10 ) =
= ( 11 k/10 ) : ( 17 k/10 )=
= ( 11 k/10 ) × ( 10 / 17 k ) =
= 11/17
