General Solution To Three Simultaneous Equations

[DavidZuccaro]

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

 

[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.

 

[DavidZuccaro]

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.

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.

 

[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.

 

[DavidZuccaro]

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