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. $$\left( \begin{array} { r } x_{1}&+&3 x_{2}&-&x_{3}&+&2 x_{4} & =&-6 \\2 x_{1}&+&4 x_{2}&+&2 x_{3}&-&x_{4} & =&-5 \\-3 x_{1}&-&5 x_{2}&+&3 x_{3}&+&x_{4} & =&7 \\4 x_{1}&+&7 x_{2}&-&2 x_{3}&-&3 x_{4} & =&-8\end{array} \right)$$ If a system is inconsistent, so indicate. In those cases enter inconsistent . Otherwise, enter your answer in the form ( x , y ).