NCERT Solutions for Class 9 Maths Chapter 4 : Linear Equations In Two Variables

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The NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations In Two Variables are provided in this article. Linear equations in two variables is represented as ax + by + c = 0. When a linear equation has two variables, it is known as a linear equation in two variables.

Class 9 Maths Chapter 4 Linear Equations In Two Variables belong to Unit 2 Algebra which has a weightage of 20 marks in the Class 9 Maths Examination. NCERT Solutions for Class 9 Maths for Chapter 4 cover the following important concepts:

Download: NCERT Solutions for Class 9 Mathematics Chapter 4 pdf

NCERT Solutions for Class 9 Maths Chapter 4

The Chapter 4 Class 9 Maths are given below:

NCERT Solutions

Important Topics in Class 9 Maths Chapter 4 Linear Equations in Two Variables

Important Topics in Class 9 Maths Chapter 4 Linear Equations in Two Variables are elaborated below:

Introduction to Two-variable Linear Equations of the Type ax + by + c = 0

Example: Show an equation in the form of ax + by + c = 0 (Where a, b, and c are real numbers and constants.)

Solution: An equation in the form of ax + by + c = 0 can be demonstrated as:
x + 2y = 6; 2x + y = 7.

Using Bar Graph to Plot Linear Equation and Justifying any Point on a Line

The graph of a linear equation in two variables is considered as a line. If an equation is linear, we can graph it by finding any two solutions, (x1,y1)(x1,y1) and (x2,y2)(x2,y2). After plotting these two points, we can draw the line connecting them.

Example: Given a linear function, how do can you graph plotting points?

Solution: We can graph the plotting points:

First, slecet a minimum of two input values.
Further, calculate the required function at each input value.
Then use the resulting output values to recognize the coordinate pairs involved.
Plot the coordinate pairs on a grid.
Now connect the lines through the points.

Ratio and Proportion

A ratio, in linear equations, is a comparison of two given quantities. A proportion, however, is an equality of two given ratios.

Example: Consider that ⅘ is a ratio and the proportion it has is 20/25 = ⅘. Solve and evaluate its proportional statement.

Solution: To solve its proportional statement, we have to:
20/25 = ⅘
20 x 5 = 25 x 4
100 = 100

NCERT Solutions for Class 9 Maths Chapter 4 Exercises:

The detailed solutions for all the NCERT Solutions for Linear Equations in Two Variables under different exercises are:

Also Read:

Important Chapter Related Links
Linear Equations in Two Variables MCQs	Consistent Systems of Linear Equations	Pair of Linear Equations In Two Variables Important Questions
Substitution Method of Solving a Pair of Linear Equations	Graph of a Linear Equation in Two Variables	Linear equations: Standard Forms

Also Read:

Math Study Guides
Maths Important Formulas	Maths MCQs	Comparison Articles in Maths
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CBSE X Related Questions

1.
If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals
- $x^2 + 5x - 4$
- $(x + 3) (-x + 8)$
- $a(x^2 + 5x - 24)$
- $x^2 - 24$
View Solution
2.
The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.
View Solution
3.
A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is $3/5$, then find the number of yellow balls.
View Solution
4.
Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.
View Solution
5.
A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.
View Solution
6.
In the given figure, point D divides the side BC of $\Delta ABC$ in the ratio $1 : 2$. Find length AD.
View Solution

View All

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You can also check

NCERT Solutions for Class 9 Maths Chapter 4 : Linear Equations In Two Variables

NCERT Solutions for Class 9 Maths Chapter 4

Important Topics in Class 9 Maths Chapter 4 Linear Equations in Two Variables

Introduction to Two-variable Linear Equations of the Type ax + by + c = 0

Using Bar Graph to Plot Linear Equation and Justifying any Point on a Line

Ratio and Proportion

NCERT Solutions for Class 9 Maths Chapter 4 Exercises:

CBSE X Related Questions

1.
If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

2.
The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

3.
A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is $3/5$, then find the number of yellow balls.

4.
Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.

5.
A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.

6.
In the given figure, point D divides the side BC of $\Delta ABC$ in the ratio $1 : 2$. Find length AD.

Similar Mathematics Concepts

Comments

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NCERT Solutions for Class 9 Maths Chapter 4 : Linear Equations In Two Variables

NCERT Solutions for Class 9 Maths Chapter 4

Important Topics in Class 9 Maths Chapter 4 Linear Equations in Two Variables

Introduction to Two-variable Linear Equations of the Type ax + by + c = 0

Using Bar Graph to Plot Linear Equation and Justifying any Point on a Line

Ratio and Proportion

NCERT Solutions for Class 9 Maths Chapter 4 Exercises:

CBSE X Related Questions

1.If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

2.The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

3.A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is $3/5$, then find the number of yellow balls.

4.Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.

5.A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.

6.In the given figure, point D divides the side BC of $\Delta ABC$ in the ratio $1 : 2$. Find length AD.

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

2.
The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

3.
A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is $3/5$, then find the number of yellow balls.

4.
Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.

5.
A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.

6.
In the given figure, point D divides the side BC of $\Delta ABC$ in the ratio $1 : 2$. Find length AD.