Solving Linear Equations - Part 2

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Lesson Objective
This lesson shows you some examples on solving linear equations. These examples will help in your understanding on this topic.
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About This Lesson
This lesson is a continuation from Part 1 for this topic.

After learning the basic concepts behind solving linear equations, it is time to take a look at some examples to understand these concepts better.

 
Solving linear equations

Study Tips

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Tip #1
Remember that when we solve a linear equation, whatever terms that are added to one side of the equation, the same terms must be added to the other side of the equation.

This is important to keep the equation balanced.
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Tip #2
When we multiply both sides of the equation, it is important to multiply 'all' the terms in the equation. For example, when we multiply the following equation with 3:

                                2x + 1 = 4x -8

The equation becomes:
                           
                            3(2x +1) = 3(4x -8)

Notice that, we put brackets around all the terms to both sides of the equation. By doing so, the equation will remain balanced.
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Tip #3
Similarly, when we divide both sides of the equation, it is important to divide all the terms in the equation. For example, when we divide the following equation with 3:

                                2x + 1 = 4x -8

The equation becomes:
                           
                            (2x +1)/3 = (4x -8)/3

Notice that, we need put brackets around all the terms to both sides of the equation. By doing so, the equation can remain balanced.
Now, watch the following math video to know more.

Math Video

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Video on Solving Linear Equations
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Math Video Transcript

Practice Questions & More

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Multiple Choice Questions (MCQ)
Now, let's try some MCQ questions to understand this lesson better.

You can start by going through the series of questions on solving linear equations or pick your choice of question below.
  1. Question 1 on the basics on solving linear equations
  2. Question 2 on the basics on solving linear equations
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