solving with simultaneity

Today, I did some revision of Gaussian elimination. Apparently, last time I did it I was a little confused. This time, however, I finally understood how it worked, and what terms like "triangular form" or "reduced echelon form" meant (sort of).

After all this fuss, I realized that Gaussian elimination really is a very fast method. It's way faster than the substitution method (which is the method I use whenever I get stuck).

I do, though, need some extra practice before I can get used to it. Normally, I'm a bit "afraid" of simultaneous equations because they are nasty and one can easily lose track of the coefficients (not to mention working with lot's of fractions).

By the way, I was looking for a quick website that can solve simultaneous equations, & I seem to have found one that even shows the steps of Gaussian elimination.

And yes, this is a purely math-based post.