Question

Daca $\frac{x+y}{2x+y} = \frac{7}{3} , atunci \frac{x}{y} = ?$

Answer 1

$\rm \frac{x+y}{2x+y} = \frac{7}{3} \Leftrightarrow \\ \Leftrightarrow 3(x+y)=7(2x+y) \Leftrightarrow \\ \Leftrightarrow 3x+3y=14x+7y \Leftrightarrow \\ \Leftrightarrow 3x-14x=7y-3y \Leftrightarrow \\ \Leftrightarrow -11x=4y \Rightarrow \frac{x}{y} = -\frac{4}{11} .$