[tex]\mathrm{\frac{2x+5y}{5y}= \frac{13}{10}} \\ \\
\mathrm{Facem~produsul~mezilor~cu~al~extremilor:} \\ \\
\mathrm{13*5y=10(2x+5y)} \\ \\
\mathrm{65y=20x+50y} \\ \\
\mathrm{15y=20x} \\ \\
\mathrm{3y=4x} \\ \\
\boxed{\mathrm{\frac{x}{y}= \frac{3}{4}}} [/tex]
