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Ştiind că x/y = 2/3, calculati 6x+y/x+3y.​

Răspuns :

x/y = 2/3 -> 2x = 3y -> x = 3y/2

(6x+y)/(x+3y) = (6 * 3y/2 + y)/(3y/2 + 3y)

= (18y/2 + y)/(3y/2 + 3y)

= (9y + y)/(9y/2)

= 10y/4,5y

= 10 : 4,5

= 2,(2)