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(b) Explain why, for any values of a, b, and c, the equations 5x + 2y + 4z = a 2x + 3y + z

(b) Explain why, for any values of a, b, and c, the equations

5x + 2y + 4z = a

2x + 3y + z = b

5x + 6y + 3z = c

always have a unique solution.

(c) Find this unique solution (in terms of a, b, and c).

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