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How to solve systems of equations by Elimination

Step by step tutorial for systems of linear equations (in 2 variables)

Videoon Solving by Elimination

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

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