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Math Tutorial 9.7 - Systems of Linear Equations. Methods for Solving Them.


In this Math tutorial, you will learn:

  • What are linear equations?
  • How do we plot the graph of a linear equation?
  • What are the systems of linear equations?
  • What is the solution set of a system of linear equations?
  • How do we solve systems of linear equations?
  • How to verify whether a system of linear equations is solved correctly or not?

Introduction

In previous tutorials we discussed first - order equations with one variable and second - order equations with one variable. In both types, we need a single equation to solve them because these equations contain a single variable.

Now we will build on that knowledge and explain how to deal with situations involving two variables in the same equation. Since there are many possible combinations that may return a true value, we need a second equation to calculate the exact value of the variables. In this way we obtain systems of linear equations, which are solved simultaneously, as we will see in this tutorial.

Please select a specific "Systems of Linear Equations. Methods for Solving Them." lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Equations Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial		Revision
Notes		Revision
Questions
9.7Systems of Linear Equations. Methods for Solving Them.
Lesson IDMath Lesson TitleLessonVideo
Lesson
9.7.1Linear Equations Definition
9.7.2Systems of Linear Equations
9.7.3Solving Systems of Linear Equations

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  6. Continuing learning equations - read our next math tutorial: Relationship between Equations in Linear Systems. Systems of Equations with One Linear and One Quadratic Equation

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