Exercise LC.C41 Robert Beezer

Find the vector form of the solutions to the system of equations below. \begin{align*} -2 x_1 -1 x_2 -8 x_3+ 8 x_4+ 4 x_5 -9 x_6 -1 x_7 -1 x_8 -18 x_9 &= 3 \\ 3 x_1 -2 x_2+ 5 x_3+ 2 x_4 -2 x_5 -5 x_6+ 1 x_7+ 2 x_8+ 15 x_9 &= 10 \\ 4 x_1 -2 x_2+ 8 x_3+ 2 x_5 -14 x_6 -2 x_8+ 2 x_9 &= 36 \\ -1 x_1+ 2 x_2+ 1 x_3 -6 x_4+ 7 x_6 -1 x_7 -3 x_9 &= -8 \\ 3 x_1+ 2 x_2+ 13 x_3 -14 x_4 -1 x_5+ 5 x_6 -1 x_8+ 12 x_9 &= 15 \\ -2 x_1+ 2 x_2 -2 x_3 -4 x_4+ 1 x_5+ 6 x_6 -2 x_7 -2 x_8 -15 x_9 &= -7 \end{align*}

Solution