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Hello!
To solve this system of equations I used the solveblock "GivenMinerr" (automatic algorithm):
P.S. What version of Mathcad are you using? I also recommend to you reading the following book by Brent Maxfield "Engineering with Mathcad": http://amzn.to/vko999
Am I missing something here, or is your middle equation wrong?
Your result does not match.
Mike
See please here and the picture:
The case 1 M <> 0  one solusion
The case 2 M = 0  no solution (see above)
The case 3 M = 0  a lot of solutions  see http://twt.mpei.ac.ru/ochkov/Mathcad_14/Chapter2/2_020_book.PNG