system of equations

\hspace{-16}$Solution of following System of equations is\\\\\\ (1) $\bf{y^3-6x^2+12x-8 = 0}$\\\\ $\bf{z^3-6y^2+12y-8 = 0}$\\\\ $\bf{x^3-6z^2+12z-8 = 0}$\\\\\\ (2) $\bf{2y^3+2x^2+3x+3 = 0}$\\\\ $\bf{2z^3+2y^2+3y+3 = 0}$\\\\ $\bf{2x^3-9z^2+3x+3 = 0}$\\\\\\ (3) $\bf{y^3-9x^2+27x-27 = 0}$\\\\ $\bf{z^3-9y^2+27y-27 = 0}$\\\\ $\bf{x^3-9z^2+27z-27 = 0}$\\\\\\

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