SOLUTION: Two dvd's and three tapes cost $31. Three dvd's and two tapes cost $29. Find the cost of each dvd and each tape.

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Question 251788: Two dvd's and three tapes cost $31. Three dvd's and two tapes cost $29. Find the cost of each dvd and each tape.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
d = cost of 1 dvd
t = cost of 1 tape
given:
(1) 2d+%2B+3t+=+31
(2) 3d+%2B+2t+=+29
Multiply (1) by 3 and (2) by 2
and subtract (2) from (1)
(1) 6d+%2B+9t+=+93
(2) -6d+-+4t+=+-58
5t+=+35
t+=+7
and, since
2d+%2B+3t+=+31
2d+%2B+3%2A7+=+31
2d+=+31+-+21
2d+=+10
d+=+5
Each tape cost $7 and each dvd costs $5