System of three linear equations that represents the data

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Cost of CDs :

The accompanying table shows the total cost of purchasing combinations of differently priced CDs. The types of CDs are labeled A, B, and C.

A B C Total Cost
1 1 1 $37
3 2 1 $69
1 1 4 $82

(a) Let x be the cost of a CD of type A, y be the cost of a CD of type B, and z be the cost of a CD of type C. Write a system of three linear equations that represents the data in the table.

(b) Solve the system and interpret your answer.

Reference no: EM131023330

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