Given that the variables vary inversely, then we have to use the following equation.
[tex]y=\frac{k}{x}[/tex]
Where k is the constant of proportionality. So, we have to replace x = 5 and y = 2 to find k.
[tex]\begin{gathered} 2=\frac{k}{5} \\ k=2\cdot5 \\ k=10 \end{gathered}[/tex]
Once we have the constant, we can find y when x = 3.
[tex]y=\frac{10}{3}[/tex]
Hence, when x = 3, y = 10/3.
