Question 1117828
Not sure that description is right.  You expecting the same variation constant k?  Your description seems to try to say:


{{{system(x=ky^2,y=k*k^3)}}}


If that is the correct interpretation, then

{{{x=ky^2}}}
{{{k=x/y^2}}}
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{{{y=k^4}}}
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{{{k^4=(x/y^2)^4}}}
{{{k^4=(x^4)/(y^8)}}}
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{{{y=(x^4)/(y^8)}}}
{{{y*y^8=x^4}}}
{{{x^4=y^9}}}
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{{{system(k=x/y^2,x^4=y^9)}}}