NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.4

NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.4 are part of NCERT Solutions for Class 9 Maths. Here we have given NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.4.

Board	CBSE
Textbook	NCERT
Class	Class 9
Subject	Maths
Chapter	Chapter 4
Chapter Name	Linear Equations in Two Variables
Exercise	Ex 4.4
Number of Questions Solved	2
Category	NCERT Solutions

NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.4

Question 1.
Give the geometric representations of y – 3 as an equation
(i) in one variable.
(ii) in two variables.
Solution:
The given linear equation is
y = 3 …(i)
(i) The representation of the solution on the number line is shown in the figure below, where y = 3 is treated as an equation in one variable.
NCERT Solutions for Class 9 Maths Chapter 4 Linear Equation in two variables 10

(ii) We know that y = 3 can be written as
0. x + y = 3
Which is a linear equation in the variables x and y. This is represented by a line. Now, all the values of x are permissible because 0.x is always 0. However, y must satisfy the equation y = 3.
Note that, the graph AB is a line parallel to the x-axis and at a distance of 3 units of the upper side of it.
NCERT Solutions for Class 9 Maths Chapter 4 Linear Equation in two variables 11

Question 2.
Give the geometric representations of 2x + 9 = 0 as an equation
(i) in one variable
(ii) in two variables
Solution:
Given linear equation is 2x + 9 = 0 i.e., x = – $\cfrac { 9 }{ 2 }$
(i) If x = – $\cfrac { 9 }{ 2 }$ is treated as an equation in one variable, then it has a unique
solution x = – $\cfrac { 9 }{ 2 }$ .
So, it is a point on the number line as shown below :
NCERT Solutions for Class 9 Maths Chapter 4 Linear Equation in two variables 12

(ii) Given equation 2x + 9 = 0 can be written as 2x + 0 . y + 9 = 0, which is a linear equation in two variables x and y.
We can write the given equation as,
$x=\cfrac { -9+0.y }{ 2 }$
When y=1, then $x=\cfrac { -9+0.(1) }{ 2 }$ = – $\frac { 9 }{ 2 }$
When y=2, then $x=\cfrac { -9+0.(2) }{ 2 }$ = – $\frac { 9 }{ 2 }$
When y=3, then $x=\cfrac { -9+0.(3) }{ 2 }$ = – $\frac { 9 }{ 2 }$

X	– $\frac { 9 }{ 2 }$	– $\frac { 9 }{ 2 }$	– $\frac { 9 }{ 2 }$
y	1	2	3

Now Playing the points – $(\cfrac { 9 }{ 2 },1 )$ , – $(\cfrac { 9 }{ 2 },2 )$ – $(\cfrac { 9 }{ 2 },3 )$ paper and joining then ,we get a line PQ as a solution of 2x+9=0
NCERT Solutions for Class 9 Maths Chapter 4 Linear Equation in two variables 13
Thus, the graph PQ is a line parallel to the y-axis at a distance $\frac { 9 }{ 2 }=4.5$ of units in the direction of negative X-axis.

We hope the NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.4 help you. If you have any query regarding NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Exx 4.4, drop a comment below and we will get back to you at the earliest.

NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.4

NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.4

Leave a Reply Cancel reply

Maths NCERT Solutions

Science NCERT Solutions