SOLUTION: If x varies directly as the square of y and y varies inversely as the cube of k, what is the relationship between x, y and k?

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Question 1117828: If x varies directly as the square of y and y varies inversely as the cube of k, what is the relationship between x, y and k?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Not sure that description is right. You expecting the same variation constant k? Your description seems to try to say:

system%28x=ky%5E2%2Cy=k%2Ak%5E3%29

If that is the correct interpretation, then
x=ky%5E2
k=x%2Fy%5E2
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y=k%5E4
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k%5E4=%28x%2Fy%5E2%29%5E4
k%5E4=%28x%5E4%29%2F%28y%5E8%29
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y=%28x%5E4%29%2F%28y%5E8%29
y%2Ay%5E8=x%5E4
x%5E4=y%5E9
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system%28k=x%2Fy%5E2%2Cx%5E4=y%5E9%29