How do we use Gaussian Elimination to solve systems of equations?

Question

How do we use Gaussian Elimination to solve systems of equations?

In: Mathematics

Answer 1

Guardian elimination is essentially addition and subtraction

A good way to look at it is our decimal system. You could write a 3 digit number as an equation.

So you could have

1x + 2y + 3z = 123
And
1x + 2y + 4z = 124

In these cases we can see x=100, y=10 and z= 1

So you subtract these 2 and you end up with 0x + 0y + 1z = 1.