The first three steps in determining the solution set of the What are the solutions of this system of equations? system of equations algebraically are shown in the table
$ y=-x^{2}+2 x-9 $
$ (5,-24) $ and $ (3,-12) $
$ y=-6 x+6 $
$ (5,36) $ and $ (3,24) $
$ (-5,-24) $ and $ (-3,12) $
\begin{tabular}{|c|c|}
\hline 11 Step & Equation \
\hline 1 & 1 & $ -x^{2}+2 x-9=-6 x+6 $ \
\hline 2 & $ 0=x^{2}-8 x+15 $ \
\hline 3 & $ 0=(x-5)(x-3) $ \
\hline
\end{tabular}
$ (-5,36) $ and $ (-3,24) $
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