Use Matrices to Solve the System of Equations (If Possible) $\left\{ \begin{aligned}x - 5 y + 2 z & = - 1 \\- 6 x + 29 y - z & = 1\end{aligned} \right.$

Multiple Choice

Use matrices to solve the system of equations (if possible) . Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. $\left\{ \begin{aligned}x - 5 y + 2 z & = - 1 \\- 6 x + 29 y - z & = 1\end{aligned} \right.$

A) (53a + 24, 11a + 5, a) where a is any real number
B) (-17a - 15, 14a + 29, a) where a is any real number
C) (72a + 19, 6a + 35, a) where a is any real number
D) (-37a + 24, a + 5, a) where a is any real number
E) (-a + 9, a + 5, a) where a is any real number