Class 9 Maths Chapter 4 – Linear Equations in Two Variables | Exercise 4.2

Class 9 Maths Chapter 4 – Linear Equations in Two Variables | Exercise 4.1**: --- *Welcome to our Class 9 Maths series!* In this video, we cover *Chapter 4: Linear Equations in Two Variables**, focusing on **Exercise 4.1* from the **NCERT textbook**. Whether you’re preparing for school exams, CBSE Board exams, or just want to strengthen your basics, this video is perfect for you! --- *Chapter Overview:* Linear Equations in Two Variables is a fundamental topic in algebra. In earlier classes, you learned about linear equations in one variable. In Class 9, we move one step ahead and study equations with **two variables**. An equation of the form: *ax + by + c = 0* (where a, b, and c are real numbers, and a and b are not both zero) is called a **linear equation in two variables**. --- *What’s in Exercise 4.1?* This exercise helps you understand the concept of linear equations with two variables and how to represent them. You’ll learn: What is a linear equation in two variables How solutions to these equations are *infinite* How to verify if a given pair of values is a solution How to find and write solutions for such equations The basics of plotting solutions on a graph (covered more in later exercises) --- *Topics Covered in This Video:* 1. Definition of a linear equation in two variables 2. Understanding the standard form: ax + by + c = 0 3. Difference between one-variable and two-variable equations 4. Writing solutions in the form of ordered pairs (x, y) 5. Solving all *questions from Exercise 4.1* with step-by-step explanation 6. Tips and tricks for quick understanding 7. Doubt clearing through real examples --- *Why Watch This Video?* *Easy explanations in simple language* *Step-by-step NCERT solution* Useful for *CBSE 2025 board preparation* Ideal for *revision and homework help* Improves problem-solving and logical reasoning skills --- *Real-Life Applications of Linear Equations:* Used in business to calculate cost and profit In science to represent relationships between variables In everyday life like calculating speed, distance, and time Understanding this topic builds a strong base for higher classes like Class 10 and 11. --- *Time Stamps:* 00:00 – Introduction 01:10 – What is a linear equation in two variables? 03:30 – Examples from daily life 05:00 – NCERT Exercise 4.1 Q1 08:15 – NCERT Exercise 4.1 Q2 11:30 – NCERT Exercise 4.1 Q3 15:45 – Summary & Tips 17:00 – Homework Questions --- *Important Formulas to Remember:* Standard form: *ax + by + c = 0* Infinite solutions: You can find multiple (x, y) pairs that satisfy the equation Solutions are represented as *ordered pairs* --- *Download Notes & PDF (if applicable):* Link: \[Insert your Google Drive / Website link here] --- *Related Videos:* Class 9 Maths Chapter 3 – Coordinate Geometry Class 9 Chapter 4 – Graphical Method (Coming Soon) Word Problems on Linear Equations (Upcoming) --- *Subscribe for More Videos:* Don’t forget to *Like, Share, and Subscribe* to our channel for more chapters, exercise solutions, and exam preparation videos. --- *#Class9Maths #LinearEquations #Exercise4\_1 #CBSE2025 #NCERTSolutions #MathsMadeEasy #BoardExamPrep #StudyWithMe #Class9Chapter4 #MathsLectures* ---