Three Equations But Two Unknowns

Algebra Level 4

{x4y4=24x2+y2=6x+y=4\begin{cases} x^4- y^4 = 24 \\ x^2 + y^2 = 6 \\ x + y = 4 \end{cases}

If xx and yy satisfy the above system of equations, find xyx-y.

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