Use a Matrix Approach to Solve the System If a System Is Inconsistent, So Indicate

Short Answer

Use a matrix approach to solve the system. $$\left( \begin{array} { l } x_{1}&-&4 x_{2}&-&3 x_{3}&+&x_{4} & =&10 \\-3 x_{1}&+&3 x_{2}&+&x_{3}&-&3 x_{4} & =&-5 \\4 x_{1}&-&3 x_{2}&-&4 x_{3}&+&4 x_{4} & =&11 \\7 x_{1}&+&x_{2}&+&6 x_{3}&-&3 x_{4} & =&-33\end{array} \right)$$ If a system is inconsistent, so indicate. In those cases enter inconsistent . Otherwise, enter your answer in the form ( x , y ).