Q:
# What Is Elimination in Algebra?

**Elimination is a method for solving a system of two or more algebraic equations by transforming the system so that one of the variables cancels out.** It is sometimes called the addition method because it involves adding equations together.

An example of a set of linear equations that can be solved using the elimination method is: 4x + 2y = 14 and 2x - y = 1. To create coefficients that cancel each other out, the terms of the second equation are multiplied by 2, producing the equation 4x - 2y = 2. Adding the two equations together causes 2y and -2y to cancel each other out, leaving 8x = 16, or x = 2. Plugging an x value of 2 back into the original equation 2x - y = 1 leads to the solution y = 3.

Learn more about Algebra-
Q:
## Why Is Algebra Important?

A: Algebra is a method of solving mathematical equations in a way that allows a person to derive unknown quantities, such as bank interest, percentages or pro... Full Answer >Filed Under: -
Q:
## How to Solve an Algebra Problem by Substitution?

A: In algebra, the method of substitution is used to simplify problems by reducing the number of variables or quantities. The specific details of the solution... Full Answer >Filed Under: -
Q:
## How Do You Learn Algebra?

A: To learn algebra, you need to understand the basic principles of how to balance equations and then apply them to progressively harder problems. You should ... Full Answer >Filed Under: -
Q:
## What Are Some Algebra Riddles?

A: Algebra riddles can be either word problems that need to be translated into a set of algebraic equations or arithmetic problems with letters where each let... Full Answer >Filed Under: