Question

If x varies directly as y and inversely as z, given that x=3, y=4 and z=8. Find the value of x when y

is 3 and z is 2

Answer 1

Explanation:

If x varies directly as y and inversely as z, we can write the following proportion:

x/y = k/z

where k is a constant of proportionality.

Using the values x=3, y=4, and z=8, we can solve for k:

3/4 = k/8

Multiplying both sides by 8, we get:

k = 6

Now we can use this value of k to find x when y is 3 and z is 2:

x/3 = 6/2

Simplifying, we get:

x/3 = 3

Multiplying both sides by 3, we get:

x = 9

Therefore, when y is 3 and z is 2, the value of x is 9.