What values of x, y and z satisfy the following system of linear equations?
$$\begin{bmatrix} 1 &2 &3 \\ 1& 3 &4 \\ 2& 2 &3 \end{bmatrix} \begin{bmatrix} x\\y \\ z \end{bmatrix} = \begin{bmatrix} 6\\8 \\ 12 \end{bmatrix}$$
- x = 6, y = 3, z = 2
- x = 12, y = 3, z = - 4
- x = 6, y = 6, z = - 4
- x = 12, y = - 3, z = 0