Solving Linear Equations - Part 2

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Lesson Objective
This lesson shows you some examples on how to solve linear equations to further your understanding in 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 equation, it's 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 solving 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 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 for both sides of the equation. By doing so, the equation can 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 for 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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Click play to watch

If the above player doesn't work, try this direct link.

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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
  2. Question 2 on the basics