Solution/Root of an equation

Linear equations in one variable of Class 8

The value of x, i.e. some number for x, which makes the equation a true statement is called solution or root of the equation.

In simple words, if the L.H.S. and R.H.S become equal for some number plugged in for x, then the number, also called value, is the solution or root of the equation.
In x + 1 = 2, what should be plugged in for x so that L.H.S. becomes equal to R.H.S?
It is 1, i.e. if 1 is plugged in for x, the two sides become equal.

This number or value 1 for x is called root or solution of the equation. Transposition Rule:

Transposition Rule

The transposition rule applies on addition and subtraction.

Transposition Rule

Terms can be transposed (shifted) between either sides of the equality symbol “=” with a change in sign of the transposed terms”

e.g. x + 1 = 2.

question1 can be transposed to right side by inversing its sign i.e. x = -1 + 2 so that we have x = 1 transposition conforms with the rule:

“same numbers can be added on both sides of an equation”

So, in x + 1 = 2, to find x, we need to get rid of 1 on the left hand side, to do this add -1on both sides of the equation. x +1-1 = -1 + 2, x = 1

CBSE NCERT Solutions for Class 8 Maths

class 8 maths NCERT solutions Chapter 1: Rational Numbers

class 8 maths NCERT solutions Chapter 2: Linear Equations in One Variable

class 8 maths NCERT solutions Chapter 3: Understanding Quadrilaterals

class 8 maths NCERT solutions Chapter 4: Practical Geometry

class 8 maths NCERT solutions Chapter 5: Data Handling

class 8 maths NCERT solutions Chapter 6: Square and Square Roots

class 8 maths NCERT solutions Chapter 7: Cube and Cube Roots

class 8 maths NCERT solutions Chapter 8: Comparing Quantities

NCERT Class 8 Maths solution Chapter 9: Algebraic Expressions and Identities

class 8 maths NCERT solutions Chapter 10: Visualizing Solid Shapes

class 8 maths NCERT solutions Chapter 11: Mensuration

class 8 maths NCERT solutions Chapter 12: Exponents and Powers

class 8 maths NCERT solutions Chapter 13: Direct and Inverse Proportions

class 8 maths NCERT solutions Chapter 14: Factorization

class 8 maths NCERT solutions Chapter 15: Introduction to Graphs

class 8 maths NCERT solutions Chapter 16: Playing with Numbers

Notes,worksheet and solved question for Maths class 8

Check your marks in a chapter which you have complited in school from Physics Wallah chapter wise online test just click on the link given below

chapter wise online test for class 8 maths