# Lowering the exponents

Algebra Level 3

$\large{\begin{cases}x^2+y^2=2 \\ x^3+y^3 = -2 \end{cases}}$

If $$x$$ and $$y$$ are number satisfying the system of equations above, find the value(s) of $$x+y$$.

(A): $$-2$$
(B): $$1 +\sqrt3$$
(C): $$1 -\sqrt3$$

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