Question

if y varies directly with x by a constant of 3/2 what is the value of x when y equals 14

Answer 1

If y varies directly with x by a constant of 3/2, it means that the relation between these variables is:

$y=\frac{3}{2}x$

To determine the value of x when y = 14, replace this value of y into the previous equation, and solve for x, just as follow:

$14=\frac{3}{2}x$

multiply by 2 and divide by 3 both sides:

$\begin{gathered} 14(\frac{2}{3})=x \\ \frac{28}{3}=x \end{gathered}$

Hence, the value of x qhen y=14 is x - 28/3