# General Solution To Three Simultaneous Equations

1. Sep 9, 2015

### DavidZuccaro

I herewith submit for reference, review and comment the general solution to 3 simultaneous equations as follows:

2. Sep 9, 2015

### BvU

Lot of work plus a lot of typesetting !
I do notice that you have written down a general solution for a not so general set of three equations in three unknowns.
Are you familiar with things like inverting a 3x3 matrix? Your matrix has zeros on the diagonal.

3. Sep 9, 2015

### DavidZuccaro

I agree, it's a general solution to a specific set of equations :)

Thanks, I thought that there was a simpler way of solving those.

4. Sep 9, 2015

### Svein

There are several ways of solving a system of linear equations. The most well-known is the "Gaussian elimination" (https://en.wikipedia.org/wiki/Gaussian_elimination). In the general case, you probably need to do a "pivot swapping" for each column to ensure that you do not divide by zero.

5. Sep 10, 2015

### DavidZuccaro

The typesetting was not a problem -- all handled by LibreOffice Math. It was easier than writing.