Math  /  Algebra

QuestionSolve the following system of equations using Gaussian elimination or Gauss-Jordan elimination. 7x4y+7z=1421x12y+21z=4414x+8y14z=31\begin{aligned} 7 x-4 y+7 z & =-14 \\ 21 x-12 y+21 z & =-44 \\ -14 x+8 y-14 z & =31 \end{aligned}

Studdy Solution
Since the system is inconsistent, there are no values for xx, yy, and zz that satisfy all three equations simultaneously.
The system of equations has no solution.

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