Question

Se stie ca 2x+5y / 5y = 13/ 10 . Calculati x/y

Answer 1

$\frac{2x+5y}{5y}= \frac{13}{10} => 13*5y=10(2x+5y) =>65y=20x+50y => \\ => 65y-50y=20x => 15y=20x => x= \frac{15y}{20}= \frac{3y}{4 } \\ \frac{x}{y}= \frac{ \frac{3y}{4} }{y} => \frac{x}{y} = \frac{3y}{4}* \frac{1}{y} => \frac{x}{y} = \frac{3y}{4y}= \frac{3}{4}$