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The planes x+3y+2z = 3 and 4x+y2z = 5 have the point (2,3,5) in common. Justify this statement. The challenge is now to find coordinates

The planes x+3y+2z = 3 and 4x+y2z = 5 have the point (2,3,5) in common. Justify this statement. The challenge is now to find coordinates for another point that lies on both planes. Hint: Because there are infinitely many correct answers to this question, you will have to make an arbitrary choice during the solution process. For instance, you could start by assigning one of the unknowns a value, and then use the given equations to solve for the other two unknowns.

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