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Writing a Word Problem from a System of Equations

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Details: From the following augmented matrix, 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. Be creative. Do not use word problems that are in the assignments or course material.

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A word problem is written using an augmented matrix.

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x + y + z = 100
5x - 3y = 10
3y + 4z = 290

Suppose there is a small menagerie in my neighborhood that has only three types of birds on display - ...

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