### Video

#### What is the Elimination Method?

It is one way to solve a system of equations.

The basic idea is if you have 2 equations, you can sometimes do a single operation and then add the 2 equations in a way that eleiminates 1 of the 2 variables as the example that follows shows.

In this system, if we add the 2 equations together, the $$ \red{- 10y} $$ and $$ \red{10y} $$ will eliminate each other! And that is the crux of what the rest of this page will explore.

### Elimination Example 1

$$ y = x + 1 \\ y = -x $$