Solve the system exactly. Be sure give your answer in lowest terms with rational denominators.
{y1=x6+5y2=13−x\displaystyle {\left\lbrace\begin{array}{c} {y}_{{1}}={x}\sqrt{{{6}}}+{5}\\{y}_{{2}}={13}-{x}\end{array}\right.}{y1=x6+5y2=13−x
(x,y)=\displaystyle {\left({x},{y}\right)}=(x,y)=
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