[tex]\it f) \ \ \ \{x,\ \ y,\ \ x\}\ d.\ p.\ \Big\{\dfrac{1}{4},\ \ \dfrac{1}{6},\ \ \dfrac{1}{8}\Big\} \Rightarrow \{x,\ \ y,\ \ x\}\ i.\ p.\ \{4,\ \ 6,\ \ 8\} \Rightarrow \\ \\ \\ \Rightarrow 4x=6y=8z\Big|_{:2} \Rightarrow 2x=3y=4z\ \ \ \ (*)\\ \\ \\ 2x+3y-4z=48\ \stackrel{(*)}{\Longrightarrow} 2x+2x-2x=48 \Rightarrow 2x=48|_{:2} \Rightarrow x=24[/tex]
[tex]\it x=24\ \stackrel{(*)}{\Longrightarrow}\ \begin{cases} \it 3y=48|_{:3} \Rightarrow y=16\\ \\ \it 4z=48|_{:4} \Rightarrow z=12\end{cases}[/tex]
