for x
[tex]\begin{gathered} \frac{x}{6}=\frac{13}{8} \\ 8x=13\times6 \\ 8x=78 \\ \frac{8x}{8}=\frac{78}{8} \\ x=9.75 \end{gathered}[/tex]for y
[tex]\begin{gathered} \frac{y}{6}=\frac{16}{8} \\ \frac{y}{6}=2 \\ \frac{6y}{6}=2\times6 \\ y=12 \end{gathered}[/tex]for z
[tex]\begin{gathered} \frac{z}{6}=\frac{13}{8} \\ 8z=13\times6 \\ 8z=78 \\ \frac{8z}{8}=\frac{78}{8} \\ z=9.75 \end{gathered}[/tex]