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14)Daca [tex] \frac{x}{y} = \frac{1}{5} [/tex] si [tex] \frac{z}{y} = \frac{2}{3} [/tex] ,aflati [tex] \frac{z+y}{x} [/tex] .
P.S       Raspunsul este 25supra 3 ....Eu vreau rezolvarea desfasurata cu acest rezultat la sfarsit


Răspuns :

[tex]\frac{x}{y}=\frac{1}{5}\\ \frac{x}{1}=\frac{y}{5}=k;x=k,y=5k\\ \frac{z}{y}=\frac{2}{3}\\ \frac{z}{5k}=\frac{2}{3},z=\frac{10k}{3}\\ \frac{z+y}{x}=\frac{ \frac{10k}{3}+5k}{k}=\frac{25k}{3}*\frac{1}{k}=\frac{25}{3} [/tex]