SOLUTION: If a+b=13, b+c=14, c+a=15, find the value of c

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Question 981831: If a+b=13, b+c=14, c+a=15, find the value of c
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Try taking the difference of these two:
a+b=13, b+c=14

b%2Bc-%28a%2Bb%29=14-13
b%2Bc-a-b=1
c-a=1, and see this equation only has variables c and a.

Combine processes to solve to include the other equation with only c and a,
c%2Ba=15

You have a simple system of
system%28c-a=1%2Cc%2Ba=15%29

Finishing steps:
c-a%2Bc%2Ba=1%2B15
2c=16
highlight%28c=8%29