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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Math Formula	NCERT Solutions for Class 9 Maths	Geometry

CBSE X Related Questions

1.
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
2.
The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is
- $1$
- $-5$
- $25$
- $\sqrt{5}$
View Solution
3.
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
4.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
View Solution
5.
Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$
View Solution
6.
Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.
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.
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.

2.
The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

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

4.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

5.
Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$

6.
Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.

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.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.

2.The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

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

4.Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

5.Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$

6.Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
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.

2.
The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

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

4.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

5.
Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$

6.
Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.