Best way to solve a linear equation in code [duplicate]

Answer 1

If you store the coefficients in a matrix, you can solve it by computing the LU decomposition of the matrix. I'm not terribly familiar with the exact algorithm, but wikipedia's pages on this should be a good starting point:

http://en.wikipedia.org/wiki/System_of_linear_equations#Solving_a_linear_system
http://en.wikipedia.org/wiki/LU_decomposition

Answer 2

Use Cramer's Rule It is easy to solve linear equations by this rule.

To solve matrices use http://www.codeproject.com/KB/cs/CSML.aspx

Answer 3

i think we've seen this question already: Solving a linear equation

Answer 4

Gauss-Jordan elimination is the most straightforward and easiest to understand method for solving a system of simultaneous linear equations like this. LU decomposition is a little more numerically stable, but your matrix doesn't look poorly conditioned so I don't think you need the extra complexity.