Write the System of Linear Equations Represented by the Augmented

Multiple Choice

Write the system of linear equations represented by the augmented matrix. Use x, y, z, and, if necessary, w for the variables.
- $$\left[ \begin{array} { r r r r | r } 5 & 1 & 0 & 2 & 12 \\- 1 & 8 & 1 & 0 & - 6 \\9 & 0 & 0 & 6 & - 11 \\0 & 3 & 0 & - 3 & - 4\end{array} \right]$$

A)
$5 x + y + 2 w = 12$
$- x + 8 y + z = - 6$
$9 x + 6 w = - 11$
$3 y - 3 w = - 4$
B)
$5 x + y + z + 2 w = 12$
$- x + 8 y + z + w = - 6$
$9 x + y + z + 6 w = - 11$
$x + 3 y + z - 3 w = - 4$
C)
$5 x + y + 2 w = 12$
$x + 8 y + z = - 6$
$9 x + 6 w = - 11$
$3 y + 3 w = - 4$
D)
$5 x + y + 2 z = 12$
$- x + 8 y + z = - 6$
$9 x + 6 y = - 11$
$3 x - 3 y = - 4$