Set up and solve an appropriate system of linear equations to answer the questions. Describe all possible

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Set up and solve an appropriate system of linear equations to answer the questions.

Describe all possible values of a, b, c, d, e, and f that will make each of the following a valid addition table.
(a)

b. a 3 2 1 5 4 3 4 3

(b)

2 3 3 4 5 4 5 6

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