Difference between revisions of "2004 Indonesia MO Problems/Problem 5"
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Latest revision as of 17:14, 28 July 2018
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.
See Also
2004 Indonesia MO (Problems) | ||
Preceded by Problem 4 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 | Followed by Problem 6 |
All Indonesia MO Problems and Solutions |