Răspuns:
x/y=3/7
(2x+5y)/(x+2y)
x=3y/7
inlocuiesti in fractia 2
(2*3y/7+5y)/(3y/7+2y)=
(6y/7+7*5y/7):(3y+14y)/7=
(6y+35y)/7*7/17y=
41y/17y=41/17
Explicație pas cu pas:
[tex] \frac{x}{y} = \frac{3}{7} = k \\ x \times 7 = k \\ x = \frac{k}{7} \\ y \times 3 = k \\ y = \frac{k}{3} [/tex]
Sper sa intelegi si sa fie corect!
