When y varies inversely with x, we have [tex]y= \frac{k}{x} [/tex]
We first find the value of k
When y = 7 and x = 2/3, then
[tex]y= \frac{k}{x} [/tex]
[tex]7= \frac{k}{ \frac{2}{3} } [/tex]
[tex]7( \frac{2}{3})=k [/tex]
[tex]k= \frac{14}{3} [/tex]
Now we have k = 14/3, we can work out y when x = 7/3
[tex]y= \frac{k}{x} [/tex]
[tex]y= \frac{14/3}{7/3} [/tex]
[tex]y= \frac{14}{7} [/tex]
[tex]y=2[/tex]
