If y is inversely proportional to x and y=7 when x= 9, find x when y= 14

x = 63/14

Step-by-step explanation:

The general rule for inverse proportion is y = k/x, where k is the constant of proportionality.

Here, y = 7 when x = 9.  Thus, y = k/x becomes 7 = k/9.  Mult. both sides by 9 to remove fractions and to isolate the constant k, we get 63 = k.

Thus, the rule in this case is y = 63/x.

Now suppose that y = 14.  Using the above rule, find the vaue of x:

14 = 63/x.  Mult. both sides by x, we get 14x = 63.  Solve this for x by dividing both sides of we get 14x = 63 by 14:  x = 63/14.