Solve the set of equations, using GaussJordan elimination: x 1 + x 2 = 6, 2x 2

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Solve the set of equations, using Gauss–Jordan elimination:
x1 + x2 = 6,
2x2 − x3 = 1,
x1 + 2x2 = 5.
Use Mathematica to confirm your solution.

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