It's a linear algebra question. Please follow linear algebraic routes to find a solution. Do the three lines x_(1)-4x_(2)=1,2x_(1)-x_(2)=-3 and -x_(1)-3x_(2)=4 have a common point of intersection? Explain why.

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It's a linear algebra question. Please follow linear algebraic routes to find a solution.  Do the three lines x_(1)-4x_(2)=1,2x_(1)-x_(2)=-3 and -x_(1)-3x_(2)=4 have a common point of intersection? Explain why.

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