Question: Why does solve( ) not yield the solution?

I am trying to get Maple to solve the following rather simple non-linear system.

x=k/4, y=-k/3, z=3k/8, 2x^2+3y^2+4z^2=9

However, solve({x=k/4,y=-k/3,z=3k/8,2x^2+3y^2+4z^2=9},{x,y,z,k}) does not give the expected results. Why not?

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