Solving Linear Equation in One Variable

Introduction

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. For example, 2x+3=8 is a linear equation having a single variable in it. Therefore, this equation has only one solution, which is x = 5/2. Whereas if we speak about linear equation in two variables, it has two solutions

Task

At the end of the lesson, the learner is able to compute the linear equation in one variable in one solution

Process

Solving Linear Equation in One Variable 

ax+b=0

where         a and b are two integers 

x                 is a variable and has only                          one solution.

Example 1 : Solve for x, 2x – 4 = 0

Solution:

Add 4 both sides

2x – 4 + 4 = 0 + 4

2x = 4

Divide each side by 2, we get

2x/2 = 4/2

x = 4/2 = 2

So, x = 2 is the answer.

Example 2: Solve 12m – 10 = 6

Solution:

12m – 10 = 6

Add 10 both sides

12m – 10 + 10 = 6 + 10

12m = 16

Divide each side by 12, we get

12m/12 = 16/12

m = 16/12 = 4/3

Answer: m = 4/3

 

Evaluation

Test Yourself, Solve for x. 

 

A. 

1. x+4=6

 

2. x+12=25

 

3. x+1.9=2.6

 

4. 3x-5=7

 

5. 2x-6=8

 

B. 

6. 4x+8=16

 

7. 5x+10=-25

 

8. 6y-12=42

 

9. 10m+2=12

 

10. 11x+22=33

Credits

High School Mathematics Grade 7

Elementary Algebra 

Textbook for First Year

Teacher Page

Teacher: Paul