2004 Indonesia MO Problems/Problem 5
Revision as of 13:52, 28 July 2018 by Rockmanex3 (talk | contribs) (Solution to Problem 5 -- it's a copy)
Contents
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.