Difference between revisions of "2006 AMC 12B Problems/Problem 8"
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Simplify: | Simplify: |
Latest revision as of 15:16, 12 September 2019
Problem
The lines and intersect at the point . What is ?
Solution 1
Solution 2
Add both equations:
Simplify:
Isolate our solution:
Substitute the point of intersection
Solution 3
Plugging in into the first equation, and solving for we get as .
Doing the same for the second equation for the second equation, we get as
Adding
See also
2006 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 7 |
Followed by Problem 9 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All AMC 12 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.