# An algebra problem by Puneet Pinku

Algebra Level 3

$\large \begin{cases} a^3+ax+y = 0 \\ b^3+bx+y = 0 \\ c^3+cx+y = 0 \end{cases}$

The system of equations above holds true for some real numbers $$a$$, $$b$$, $$c$$, $$x$$, and $$y$$, where $$a$$, $$b$$, and $$c$$ are distinct. Find $$a+b+c$$.

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