Question

Stiind ca $\frac{2x+5y}{5y}$=$\frac{13}{10}$ calculati $\frac{x}{y}$

Answer 1

[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]