1986 AIME Problems/Problem 4
Contents
[hide]Problem
Determine if , , , , and satisfy the system of equations below.
Solution
Adding all five equations gives us so . Subtracting this from the fourth given equation gives and subtracting it from the fifth given equation gives , so our answer is .
Solution 2
Subtracting the first equation from every one of the other equations yields Thus Using the previous equations,
~ Nafer
See also
1986 AIME (Problems • Answer Key • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
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