Problema Solution

Select the set of equations that represents the following situation: The cost of two CDs and fifteen DVDs is $132.28; and the cost of fourteen DVDs and twelve CDs is $208.00. How much do a CD and a DVD cost?

Answer provided by our tutors

let x be the cost of 1 CD and y be the cost of 1 DVD

2x + 15y = 132.28

12x + 14y = 208.00

-12x - 90y = -793.68

12x + 14y = 208.00

_________________ add the equations

-76y = -585.68

y = $7.7063

2x + 15y = 132.28

2x + 15*7.70 = 132.28

2x = 16.6852

x = 8.3426