Class 8 Maths Linear Equations in One Variable Solving Equations

Solving Equations having linear expression/equation on one side and number on the other

There are various methods to solve the algebraic equations:

1. By addition/subtraction and multiplication/division

Example, an algebraic equation is 2x - 3 = 7

Adding 3 both sides, 2x - 3 + 3 = 7 + 3 or 2x = 10

Dividing both sides by 2, 2x/2 = 10/2 or x = 5

 

2. By transposing

 Example, an algebraic equation is x - 3 = 7

Transposing 3 to RHS, x = 7 + 3 or x = 10

 

3. Using combination of above 2 methods

Example, an algebraic equation is x/3 + 5/2 = -3/2

Transposing 5/2 to RHS, x/3 = -3/2- 5/2 or x/3= -8/2 or x/3 = -4

Multiplying both sides by 3, x/3 * 3 = -4 * 3 or x = -12

 

 

 

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