2004 Indonesia MO Problems/Problem 5
Revision as of 12:52, 28 July 2018 by Rockmanex3 (talk | contribs) (Solution to Problem 5 -- it's a copy)
Contents
[hide]Problem
Given a system of equations:
Then determine the value of .
Solution
Subtract the first equation from the second equation of the original to get
Subtract the second equation from the third equation of the original to get
The difference between the two above equations is
That means
Adding that to the third equation of the original results in
Note
This problem is a copy of Problem 8 from the 1989 AIME.