RD Sharma Solutions Class 9 Linear Equation In Two Variables

RD Sharma Solutions Class 9 Chapter 13

RD Sharma Solutions Class 9 Chapter 13 is available here. This chapter mainly talks about the Equations with degree 1 which are known as linear equations. ax + b = 0 is the Standard form of a linear equation in one variable (where a & b are real numbers and a is not equal to 0).

In a linear equation, the same number can be added or subtracted from both sides of the equation and both sides can be multiplied or divided by the same non zero number.

Example: 3a – 6 = 0 is a linear equation and the root of the equation is:

3a – 6 = 0 –> 3a = 6 i.e. a = 2

The Linear equations in two variables:

Example: In a cricket tournament, the sum of runs scored by 2 players P and Q are 132. Represent this statement in terms of an equation ?

Let a and b be the total runs scored by the players P and Q respectively. The total runs scored by them are 132. Therefore, a + b = 32 is the required equation.  (linear equation in two variables)

Few examples for linear equations in two variables are mentioned below:

21w + 41j = 2,  23q + 0.18w + 78 = 0, √3y – 41z – 43 = 0.

Therefore, the general form of a linear equation in two variables is: ax + by + c = 0

(where a, b & c are real numbers, and a, b are not equal to zero).

Example: Find the values of a, b & c from the following linear equations.

  1. √5 x – 2y = 12

i.e. √5 x – 2y – 12 = 0

Therefore, a = √5, b = -2 and c = – 12

  1. 12y + 41 = 21

i.e 0.x + 12y + 20 = 0

Therefore, a = 0, b = 12 and c = 20

  1. 6y – 10x + 21 = 0

i.e. -10x + 6y + 21 = 0

Therefore, a = -10, b = 6 and c = 21

RD Sharma Solutions for Class 8th Linear Equations in Two Variables will help you in understanding the important steps involved in finding the solutions of any linear equation in two variables. Learn more about linear equations and its properties in details with complete exercise wise RD Sharma Solutions to prepare well for solving different complicated problems related to Linear Equations in Two Variables quickly.

Class

Class 9

Chapter

Chapter 13

Name

Linear Equations In Two Variables

Exercise

All

Here you will find several exercises of class 9 maths chapter 13 – Linear Equations in Two Variables. Click on the links to access the maths exercises from the table.


Practise This Question

What is the length of an arc which subtends angle θ (degrees) at the centre in a circle of radius r?