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Table of Contents

Toggle**NCERT Solutions For Class 9, Maths, Chapter 4, Linear Equations In Two Variables,** all exercise are given below. In these exercise, we will practice the following points:

** An equation of the form** ax + by + c = 0, where a, b and c are real numbers, such that a and b are not both zero, is called a linear equation in two variables.

– A linear equation in two variables has infinitely many solutions.

– The graph of every linear equation in two variables is a straight line.

– x = 0 is the equation of the y-axis and y = 0 is the equation of the x-axis.

– The graph of x = a is a straight line parallel to the y-axis.

– The graph of y = a is a straight line parallel to the x-axis.

– An equation of the type y = mx represents a line passing through the origin.

– Every point on the graph of a linear equation in two variables is a solution of the linear equation. **Moreover,** every solution of the linear equation is a point on the graph of the linear equation.

## Class 9, Maths, Chapter 4, Linear Equations In Two Variables

## NCERT Solutions For Class 9, Maths, Chapter 4, Linear Equations In Two Variables (All Exercises)

#### Frequently Asked Questions on NCERT Solutions for class 9 maths Chapter 4 Linear Equations in Two Variables

**What will I learn in NCERT Solutions for class 9 maths Chapter 4 Linear Equations in Two Variables? **

NCERT Solutions for Class 9 Maths Chapter 4 on Linear Equations in Two Variables covers the following topics:

- Introduction to Linear Equations in Two Variables.
- Graphing a linear equation in two variables.
- Understanding the concept of the slope of a line.
- Deriving the slope-intercept form of a linear equation.
- Understanding the point-slope form of a linear equation.
- Solving problems related to linear equations in two variables using different methods such as substitution, elimination, and cross-multiplication.
- Solving word problems related to linear equations in two variables.
- Understanding the consistency of linear equations in two variables.
- Understanding the concept of the graphical representation of a system of linear equations.

By studying these topics in detail, students will develop a strong foundation in linear equations in two variables, which is an important branch of mathematics with numerous real-world applications.

**How are NCERT Solutions for Class 9 Maths Chapter 4 helpful in exams?**

NCERT Solutions for Class 9 Maths Chapter 4 on Linear Equations in Two Variables are helpful in exams in several ways:

- Comprehensive coverage of the entire syllabus: NCERT Solutions provide complete coverage of the syllabus, including all the topics covered in the CBSE Class 9 Maths Chapter 4 on Linear Equations in Two Variables. The solutions are designed to help students understand the concepts and solve problems with ease.
- Step-by-step solutions: NCERT Solutions provide step-by-step solutions to all the problems in the textbook. This makes it easier for students to understand the problem-solving process and helps them in exams.
- Clarity of concepts: The solutions are designed to provide clarity of concepts to students. By studying these solutions, students can gain a deeper understanding of the concepts covered in the chapter, which will help them in exams.
- Additional resources: NCERT Solutions are accompanied by additional resources such as NCERT notes, sample papers, and previous years’ papers. These resources help students to prepare for exams effectively and efficiently.
- Enhance problem-solving skills: By practicing the problems given in the NCERT Solutions, students can enhance their problem-solving skills, which are crucial for scoring high marks in exams.

Overall, NCERT Solutions for Class 9 Maths Chapter 4 on Linear Equations in Two Variables are an essential resource for students preparing for CBSE board exams.