Question 869023
your points are (9,5) and (x,6)


inverse variation equation is:


y = k/x


when x - 5 and y = 9, this equation becomes:


5 = k/9
multiply both sides of this equation by 9 to get:
k = 9*5 = 45


now you can use the value of k to solve for x in the second pair of (x,6)


your equation is still y = k/x
now you have y = 6 and k = 45.
use those values to get:


6 = 45 / x
multiply both sides of this equation by x to get:
6*x = 45
divide both sides of this equation by 6 to get:
x = 45/6 which is equal to 7.5


your answer is that x = 7.5