\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Solve by Gauss the \(3 \times 3\) system \(\{x + y + z = 6 \;;\; x - 3 y - 7 z = 10 \;;\; x + 3 y + 4 z = 6\}\).
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