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Se stie ca x/y=2/7 sa se afle x/x+y si 2x+3y/x

Răspuns :

[tex]Folosim\ metoda\ "k":\\ \frac{x}{y}=\frac{2}{7}\Rightarrow \frac{x}{2}=\frac{y}{7}=k\Rightarrow x=2k,y=7k\\ \frac{x}{x+y}=\frac{2k}{2k+7k}=\frac{2k}{9k}=\frac{2}{9}\\ \frac{2x+3y}{x}=\frac{4k+21k}{2k}=\frac{25k}{2k}=\frac{25}{2}[/tex]

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