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

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Use a matrix approach to solve the system. (x1+3x2x3+2x4=62x1+4x2+2x3x4=53x15x2+3x3+x4=74x1+7x22x33x4=8)\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 ).

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