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Three Equations But Two Unknowns

Algebra Level 4

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

If $x$ and $y$ satisfy the above system of equations, find $x-y$ .

-2 1 -1 2 None of these choices

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by Paul Ryan Longhas

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