[See Steps] Determine whether the given system is consistent, and if so, find its general solution: x_1+3x_2+2x_3+x_4=2 , 2x_1+x_2+x_3-x_4=3 , x_1-2x_2-x_3-2x_4=4
Question: Determine whether the given system is consistent, and if so, find its general solution:
\[\begin{aligned} & {{x}_{1}}+3{{x}_{2}}+2{{x}_{3}}+{{x}_{4}}=2 \\ & 2{{x}_{1}}+{{x}_{2}}+{{x}_{3}}-{{x}_{4}}=3 \\ & {{x}_{1}}-2{{x}_{2}}-{{x}_{3}}-2{{x}_{4}}=4 \\ \end{aligned}\]
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