# System

Algebra Level 5

$\large{\begin{cases} 2(x^3-3x)=y^3+3y \\ 2(x^2-1)=5y^2+1\end{cases}}$

Let $$(x_1, y_1) , (x_2, y_2) ,\ldots , (x_n, y_n)$$ be all real pairs of the solutions of $$(x,y)$$ satisfying the equation above. Compute $$\displaystyle \prod_{m=1}^n x_m y_m$$.