Solve the system exactly. Be sure to express the coordinates of your solution in lowest terms with rational denominators.
{y=6x3+6y=−x7−6\displaystyle {\left\lbrace\begin{array}{c} {y}={6}{x}\sqrt{{{3}}}+{6}\\{y}=-{x}\sqrt{{{7}}}-{6}\end{array}\right.}{y=6x3+6y=−x7−6
(x,y)=\displaystyle {\left({x},{y}\right)}=(x,y)=
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