SOLUTION: 6 ducks and 5 pigs cost 213 dollars, while 2 ducks and 9 pigs cost 269 dollars. find the cost of a duck and a pig

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Question 427258: 6 ducks and 5 pigs cost 213 dollars, while 2 ducks and 9 pigs cost 269 dollars. find the cost of a duck and a pig
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
If 6 ducks and 5 pigs cost $213, then we have: 6D + 5P=213
2 ducks and 9 pigs cost $269, so: 2D + 9P=269. We multiply the second equation through by 3 and we get: 6D + 27P=807.
6D + 27P=807
- 6D + 5P=213
---------------
22P=594
P=27
807 - 27(27)= 78 = 6D
13 = D

Pigs cost $27 apiece, and ducks cost $13 apiece.