1980 AHSME Problems/Problem 29
Problem
How many ordered triples (x,y,z) of integers satisfy the system of equations below?
![\[\begin{array}{l} x^2-3xy+2yz-z^2=31 \\ -x^2+6yz+2z^2=44 \\ x^2+xy+8z^2=100\\ \end{array}\]](http://latex.artofproblemsolving.com/b/7/7/b774d8b5fdfb7de105678633783fa9df4b81772a.png)
Solution
See also
| 1980 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 28 |
Followed by Problem 30 | |
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| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
