2006 AMC 10B Problems/Problem 12
Revision as of 19:07, 27 November 2023 by Curiousgeorge12 (talk | contribs) (Added 2 solutions from AoPS Alcumus)
Problem
The lines and intersect at the point . What is ?
Solution 1
Since is a solution to both equations, plugging in and will give the values of and .
So .
Solution 2
Substituting and into the equations gives It follows that
Solution 3
Because Since when , this implies that .
Video Solution
https://www.youtube.com/watch?v=q1mxhiyciSk ~David
See Also
2006 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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All AMC 10 Problems and Solutions |
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