Solve a System of Equations
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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.
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Solution Summary
The expert examines solving a system of equations for purchasing combinations of differently priced CDs.
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(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.
The system of equations is:
x + y + z = 37
3x + 2y + z = 69
x + y + 4z = 82
Notice that each equation corresponds to a row in the table.
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(b) Solve the system and ...
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