If a, b, and c are distinct numbers, then the following system is inconsistent because the graphs of the equations are parallel planes. Show that the set of all least-squares solutions of the system is precisely the plane whose equation is x – 2y + 5z = (a +b + c)/3. х — 2у + 5z 3 а x – 2y + 5z = b %3D х — 2у + 5z — с

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