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