**MATHEMATICS – CHAPTER: LINEAR EQUATIONS IN ONE VARIABLE**
A linear equation in one variable is an equation that can be written in the form:
ax + b = 0
Here, 'x' is the variable, and 'a' and 'b' are numbers.
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**1. Basic Idea**
A linear equation is solved by isolating the variable on one side.
We use addition, subtraction, multiplication, and division to simplify the equation.
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**2. Example 1**
Solve: 2x + 5 = 15
Step 1: Subtract 5 from both sides
2x = 10
Step 2: Divide both sides by 2
x=5
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**3. Example 2**
Solve: x/3 – 4 = 2
Step 1: Add 4 to both sides
x/3 = 6
Step 2: Multiply both sides by 3
x = 18
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A linear equation in one variable is an equation that can be written in the form:
ax + b = 0
Here, 'x' is the variable, and 'a' and 'b' are numbers.
---
**1. Basic Idea**
A linear equation is solved by isolating the variable on one side.
We use addition, subtraction, multiplication, and division to simplify the equation.
---
**2. Example 1**
Solve: 2x + 5 = 15
Step 1: Subtract 5 from both sides
2x = 10
Step 2: Divide both sides by 2
x=5
---
**3. Example 2**
Solve: x/3 – 4 = 2
Step 1: Add 4 to both sides
x/3 = 6
Step 2: Multiply both sides by 3
x = 18
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