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