You Do the Math I Mystery Cache
CacheMonkeez: This one hasn't been found in 3 months so I went and retrieved it today.
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Difficulty:
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Terrain:
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Size: 
(regular)
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This is a multi-cache. In order to find the first stage as well as subsequent stages, you must solve some algebra problems. Don’t go to the coordinates above – they are not the cache’s location. Rather solve the problems below to get to the first stage of the cache and go from there.
The first problem you must solve is a simple three-equations, three-unknowns problem. Solve for x, y, and z.
3x – 2y + 4z = 7
-5x + 4y + z = 0
2x + y – 7z = 9
Once you’ve got the solution for the equations above, solve the equations below.
5a = 25
3b + c = 18
7b – 2c = 3
Once you’ve solved for a, b, c, x, y, and z, you have everything you need to locate the first stage. The coordinates are:
28° 39.x y z N
81° 12.a b c W
Once you find the cache at the first stage, you will be directed to the next location.
After you’ve found the cache, please describe in your log how you solved the problems, how long it took, any help you received, etc without giving away the cache location or disclosing any of the cache’s mystery.
In order to reward the first finder of this cache, I will memorialize the finder in the cache description after the first log is made.
First to find: Blue Man Date: 6/25/03
Additional Hints
(Decrypt)
Nytrore vf rrml, vgf fcryvat gungf uneq