Solve the System of Equations $$\begin{array} { c } x + 2 y - 3 z + w = 7 \\3 x + 4 y - z + 2 w = 4 \\- 2 x + y + z - w = - 3 \\x - y + 2 z - 2 w = 1\end{array}$$

Solve the system of equations.
- $$\begin{array} { c } x + 2 y - 3 z + w = 7 \\3 x + 4 y - z + 2 w = 4 \\- 2 x + y + z - w = - 3 \\x - y + 2 z - 2 w = 1\end{array}$$

A) $\left( \frac { 22 } { 35 } , \frac { 22 } { 7 } , - \frac { 22 } { 51 } , - \frac { 11 } { 24 } \right)$
B) $\left( 1 , \frac { 33 } { 28 } , - \frac { 11 } { 43 } , - \frac { 33 } { 106 } \right)$
C) $\left( \frac { 35 } { 22 } , \frac { 7 } { 22 } , - \frac { 51 } { 22 } , - \frac { 24 } { 11 } \right)$
D) $\left( 1 , \frac { 28 } { 33 } , - \frac { 43 } { 11 } , - \frac { 106 } { 33 } \right)$

Correct Answer:

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