Solve the System of Linear Equations A) B) C) D)

Solve the system of linear equations
$\left\{ \begin{array} { l } 4 x _ { 1 } - 8 x _ { 2 } - 4 x _ { 3 } - 8 x _ { 4 } = 0 \\ 12 x _ { 1 } - 20 x _ { 2 } - 8 x _ { 3 } - 12 x _ { 4 } = - 9 \\ 8 x _ { 1 } - 20 x _ { 2 } - 8 x _ { 3 } - 20 x _ { 4 } = 6 \\ - 4 x _ { 1 } + 16 x _ { 2 } + 16 x _ { 3 } + 44 x _ { 4 } = 0 \end{array} \mid \left[ \begin{array} { c c c c } - 24 & 7 & 1 & - 2 \\ - 10 & 3 & 0 & - 1 \\ - 29 & 7 & 3 & - 2 \\ 12 & - 3 & - 1 & 1 \end{array} \right] . \right.$

A)
$\left[ \begin{array} { l } x _ { 1 } \\ x _ { 2 } \\ x _ { 3 } \\ x _ { 4 } \end{array} \right] = \left[ \begin{array} { c } - \frac { 57 } { 4 } \\ - \frac { 27 } { 4 } \\ - \frac { 45 } { 4 } \\ \frac { 21 } { 4 } \end{array} \right]$
B)
$\left[ \begin{array} { l } x _ { 1 } \\x _ { 2 } \\x _ { 3 } \\x _ { 4 }\end{array} \right] = \left[ \begin{array} { c } - \frac { 21 } { 4 } \\- \frac { 15 } { 4 } \\\frac { 27 } { 4 } \\- \frac { 27 } { 4 }\end{array} \right]$
C)
$\left[ \begin{array} { l } x _ { 1 } \\x _ { 2 } \\x _ { 3 } \\x _ { 4 }\end{array} \right] = \left[ \begin{array} { c } - \frac { 27 } { 4 } \\- \frac { 57 } { 4 } \\0 \\\frac { 21 } { 4 }\end{array} \right]$
D)
$\left[ \begin{array} { l } x _ { 1 } \\x _ { 2 } \\x _ { 3 } \\x _ { 4 }\end{array} \right] = \left[ \begin{array} { c } - \frac { 9 } { 4 } \\\frac { 3 } { 4 } \\0 \\\frac { 3 } { 2 }\end{array} \right]$
E)
$\left[ \begin{array} { l } x _ { 1 } \\x _ { 2 } \\x _ { 3 } \\x _ { 4 }\end{array} \right] = \left[ \begin{array} { c } 0 \\- \frac { 3 } { 4 } \\0 \\- \frac { 3 } { 2 }\end{array} \right]$