Solving a linear equation?

Cramer's Rule and Gaussian Elimination are two good, general-purpose algorithms (also see Simultaneous Linear Equations ). If you're looking for code, check out GiNaC Maxima and SymbolicC (depending on your licensing requirements, of course).

You can solve this with a program exactly the same way you solve it by hand (with multiplication and subtraction, then feeding results back into the equations). This is pretty standard secondary-school-level mathematics.

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