A is for Algebra Mystery Cache

The cache is NOT located at the posted coordinates, but it is within two miles.  Solve the puzzle to find the final location.  This cache is the first in a series of 26 puzzle caches, one for each letter of the alphabet. See the bookmark list for other caches in this series!

Each cache in this series will require you to solve for the final coordinates in one way or another.  The difficulty of the puzzles will vary, and the final hides are intended to be easy.  Any necessary hints will be provided on the geochecker page.  We hope you enjoy this series!

A is for Algebra. The first puzzle will require you to recall skills you learned in middle school algebra. Hopefully this one won't be too difficult!

The puzzle:

This cache is located at N 40º n W 85º w, where n and w are the solution to the system of equations below:

213,000n - 10,000w = 5,174,053
379,000n + 2000w = 10,344,595

You can validate your puzzle solution with certitude.