<PRE><B>Question 427258</B>
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.</PRE>