The table shows the total cost of purchasing various combinations of differently priced DVDs. The types of

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


(a) Let a be the cost of a DVD of type A, b be the cost of a DVD of type B, and e be the cost of a DVD of type C. Write a system of three linear equations whose solution gives the cost of each type of DVD. 


(b) Solve the system of equations and check your answer.

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