If y varies jointly with X and z and y=9 when x=2 and z=9 find x when y = 105 and z = 3

x =70

Step-by-step explanation:

The variation model we'll need here is y = kxz, where k is the constant of proportionality.  We are told that when y = 105, x = 2 and z = 9.  This gives us enough info with which to calculate k:

9 = k(2)(9), or 1 = 2k, or k = 1/2.

Then the governing equation is

y = (1/2)xz.

If y = 105 when z = 3, then we have    105 = (1/2)(x)(3).

To solve this for x, first multiply both sides by 2, obtaining 210 = 3x.

Finally, we divide both sides by 3, obtaining the final result x = 70

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step-by-step explanation: