Hands-On Mathematics for Deep Learning

Solving linear equations using elimination

One of the best ways to solve linear equations is by a systematic method known as elimination. This is a method that allows us to systematically eliminate variables and use substitution to solve equations.

Let's take a look at two equations with two variables, as follows:

After elimination, this becomes the following:

As we can see, the x variable is no longer in the second equation. We can plug the y value back into the first equation and solve for x. Doing this, we find that x = 3 and y = 1.

We ...