## What you’ll learn to do: Use algebraic methods to solve systems of linear equations.

A graph can be used to show the solution for a system of two linear equations. However, accurately determining the solution from a graph is not always easy or accurate. For example, where do you think the two lines shown below intersect?

It looks like they might intersect at [latex](1.8,–0.7)[/latex]—though this is only an estimate. In cases like this, you can use algebraic methods to find exact answers. One of the methods we will learn is called the **substitution method**. The other algebraic method for solving systems of two equations is called the **elimination method. **

Specifically, in this section you’ll learn how to:

- Use the substitution method
- Use the elimination method without multiplication
- Use the elimination method with multiplication
- Identify inconsistent systems of equations containing two variables
- Express the solution of a system of dependent equations containing two variables