Class 9 Maths — Chapter 4: LINEAR EQUATIONS IN TWO VARIABLES

What you'll learn

• ▸Definition and Standard Form of Linear Equations in Two Variables
• ▸Forming Linear Equations from Word Problems
• ▸Solution of a Linear Equation
• ▸Infinitely Many Solutions
• ▸Finding Multiple Solutions
• ▸Verifying Solutions and Finding Unknowns
• ▸Expressing One-Variable Equations in Two Variables

Chapter Summary

--- PAGE 1 --- CHAPTER 4 LINEAR EQUATIONS IN TWO VARIABLES The principal use of the Analytic Art is to bring Mathematical Problems to Equations and to exhibit those Equations in the most simple terms that can be. —Edmund Halley 4.1 Introduction In earlier classes, you have studied linear equations in one variable. Can you write down a linear equation in one variable? You may say that x + 1 = 0, x + √2 = 0 and √2 y + √3 = 0 are examples of linear equations in one variable. You also know that such equations have a unique (i.e., one and only one) solution. You may also remember how to represent the solution on a number line. In this chapter, the knowledge of linear equations in one variable shall be recalled and extended to that of two variables. You will be considering questions like: Does a linear equation in two variables have a solution? If yes, is it unique? What does the solution look like on the Cartesian plane? You shall…

Practice Questions from this Chapter

Tap "Get Solution" on any question to ask our AI tutor.

1. Show a real-world linear equation? Get Solution →
2. Explain infinite solutions simply? Get Solution →
3. Compare one-variable and two-variable equations? Get Solution →
4. What is the general form of a linear equation in two variables? Get Solution →
5. How many solutions does a linear equation in one variable, such as x + 1 = 0, have? Get Solution →
6. According to the chapter summary, how many solutions does a linear equation in two variables have? Get Solution →
7. Which of the following is an example of a linear equation in two variables mentioned in the text? Get Solution →
8. In the equation 2x + 3y - 4.37 = 0, what is the value of 'c' when compared to the form ax + by + c = 0? Get Solution →

Did you know?

• 💡 The symbol 'x' for an unknown in algebra came from Arabic mathematicians.
• 💡 Ancient Egyptians solved equations over 3,500 years ago using a method called 'false position'.
• 💡 A straight line, which represents a linear equation, has infinitely many points.
• 💡 In computer programming, variables store information, just like 'x' and 'y' store numbers.
• 💡 The universe might be infinitely large, containing countless galaxies beyond our sight.

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