When using the elimination method does it matter which variable you choose to eliminate? How do you write the solution to represent the point if intersection?

Question

I guess it doesnt matter

Answer 1

We normally eliminate the diagonal element and the associated variable.

For systems with non-zero diagonals, it should work well most of the time except when the diagonal element is non-zero but its absolute value is very small. This can cause numerical loss of accuracy in the final solution.

There are algorithms which would interchange rows to create a strong diagonal, thereby minimizing numerical inaccuracies.

Answer 2

ain't nobody understand what you just said