# Examples of elimination methods in linear equations

Last updated: June 13, 2021 | Author: Mary Gossett

## What is the elimination method in linear equations?

In which **elimination process** You add or subtract those **equations** to get one **equation** in a variable. If the coefficients of a variable are opposite, add them up **equations** to **remove** a variable and if the coefficients of a variable are equal, subtract the **equations** to **remove** a variable.

## How do you solve a question by elimination?

**steps to solve equations by the elimination method**

## Why does the elimination method work?

Because it allows us to eliminate or get rid of one of the variables, allowing us to solve a simplified equation. Some textbooks refer to the **elimination process** Additionally **method** or the **method** the linear combination. That’s because we’re going to combine two equations by addition!

## Why does Gaussian elimination work?

We know that adding and subtracting equations doesn’t change the solution set, so the first set of equations has the same solution as the second set. So the start **Gaussian elimination** is valid”. And you keep doing such steps until you get the matrix in echelon form, which is easy to handle.