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Augmented matrix and a real world problem

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From the following augmented matrix (see attachment), first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations and their unknowns.

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The solution writes the system of equations that represents the augmented matrix and also creates a real-world word problem.

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(a) The above augmented matrix represents the system:
x + y + z = 100
5x - 3y = 10
3y + 4z = 290.

(b) A real world problem for the above ...

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