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.
![elimination method example](images/when-to-use-elimination_1.png)
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
$$ y = x + 1 \\ y = -x $$
![elimination method](images/solutions-systems-linear-equations/solution-answer10.png)
Practice Problems
Problem 1
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Problem 2
![Ajax Loader Image](https://www.mathwarehouse.com/images/pre-loaders/ajax-loader-4.gif)
Problem 3
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