Răspuns :
[tex]\it x+y=14\ \ \ \ \ (*)\\ \\ \dfrac{x}{y}=\dfrac{3}{4} \Rightarrow \dfrac{x}{3}=\dfrac{y}{4}=\dfrac{x+y}{3+4}\ \stackrel{(*)}{=}\ \dfrac{14}{7}=2 \Rightarrow \begin{cases}\it x=3\cdot2=6\\ \\ \it y=4\cdot2=8 \end{cases}[/tex]
[tex]\it x+y=14\ \ \ \ \ (*)\\ \\ \dfrac{x}{y}=\dfrac{3}{4} \Rightarrow \dfrac{x}{3}=\dfrac{y}{4}=\dfrac{x+y}{3+4}\ \stackrel{(*)}{=}\ \dfrac{14}{7}=2 \Rightarrow \begin{cases}\it x=3\cdot2=6\\ \\ \it y=4\cdot2=8 \end{cases}[/tex]