Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

## #1 2012-12-15 15:21:27

Sabbir
Guest

### System of linear equations

I've heard that there are 8 ways to solve system of linear equations.is it true ? If it is true what are they?

## #2 2012-12-15 18:07:18

bob bundy
Moderator

Offline

### Re: System of linear equations

hi Sabbir,

Welcome to the forum.

8 ?  hhmm I can 'start the ball rolling' with

(i) simultaneous equations by elimination

(ii) simultaneous equations by substitution

(iii) matrices

(iv) graph (not really suitable beyond 2 unknowns)

(v) spot the answer by inspection and check it works

...........................

Now I've run out for the moment.

Hopefully others can carry on.

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

## #3 2012-12-15 18:43:53

bobbym

Offline

### Re: System of linear equations

Hi Sabbir;

There are probably more ways than that. Determinants, iteration,over relaxation, sor, Newton - Jacobi are a few more.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.