If we have that y varies directly with x by a constant of 3/2, we can pose this as follows:
[tex]\frac{y}{x}=\frac{3}{2},y=\frac{3}{2}x[/tex]Thus, if the value for y = 14, then we can use the previous relation to find the value of x:
[tex]\frac{3}{2}=\frac{14}{x}\Rightarrow\frac{x}{14}=\frac{2}{3}\Rightarrow x=\frac{2\cdot14}{3}\Rightarrow x=\frac{28}{3}\Rightarrow x=9.333333333\ldots.[/tex]Then, the value for x = 9.33333... or 91/3:
[tex]x=9.333333,x=9\frac{1}{3}[/tex]
