# This Problem Was Made In 2016

Geometry Level 5

$\begin{cases} x^3+3x^2+2019x+2017=\sin^2\theta - \frac{1}{2} \\ y^3+3y^2+2019y+2017=\cos^2\theta - \frac{1}{2} \end{cases}$

Given that $$x$$, $$y$$ and $$\theta$$ (measured in radians) are real numbers satisfying the system of equations above, find the value of $$x+y$$.

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