[tex]1) \frac{x}{y} = \frac{1}{2} \\ 2x = y \\ \frac{3x}{2x + 5y} \\ inlocuim \: cu \: x \: pe \: 5y \\ \frac{3x}{2x + 10x} = \frac{3x}{12x} \\ simplificam \: cu \: x \: \\ \frac{3}{12} = \frac{1}{4} (forma \: finala \: dupa \: o \: simplificare \: cu \: 3 \\ [/tex]
[tex]2) \: \: \: \: \frac{5x + y}{x + 3y} = 0.(6) = \frac{6}{9} = \frac{2}{3} \\ 2(x + 3y) = 3(5x + y) \\ 2x + 6y = 15x + 3y \\ treem \: x \: si \: y \: in \: cealalta \: parte \\ 13x = 3y \\ deci \: raportl \: va \: fi \: \frac{x}{y} = \frac{3}{15} = \frac{1}{5} [/tex]
