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Știind că x/y=2/3 aflați 2x/2x+5y

Răspuns :

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

2x/2x+5y= 2x/2x+5×(3x/2)= 2x/2x+(15x/10)= 2x/(20x/10+15x/10)= =2x/(35x/10)= =2x:(35x/10)= =2x×(10/35x)= =20x/35x= =4/7

Știind că x/y=2/3
aflați 2x/2x+5y=
(2x/y)/(2x/y+5)=2*(2/3)/[2(2/3)+5]=
(4/3)/[(4+15)/3]=4/19