\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Solve \(\{x + y + 2 z = 0 \;;\; 2 x + 5 y - 3 z = 1 \;;\; 3 x + 6 y - z = 1\}\). Express the solution set as \(X_p + \mathrm{Vect}(\ldots)\).
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