Class 10 maths chapter 3 NCERT Solutions Pair of Linear Equations in Two Variables is concerned with understanding and exploring the concept of graph plotting and straight-line formation using linear equations in two variables. Students preparing for class 10 maths chapter 3 will be able to clear all their concepts on linear equations at the root level. Expert faculty of Toppr produced these solutions to assist students with their first term exam preparations. It covers all major concepts in detail, allowing students to understand the ideas better.
NCERT solutions for class 10 maths chapter 3 of the section, concentrate on the essential concepts such as the Algebraic methods for solving a pair of linear equations in two variables, such as the elimination method, cross-multiplication methods, and equations reducible to a pair of linear equations in two variables. All of these solutions are designed with the new CBSE pattern in mind so that students have a complete understanding of their tests.
Pair of linear equations in two variables class 10 Chapter 3 Questions and Answers are very useful for getting good grades in tests and properly preparing you with all of the important concepts. These NCERT Solutions are valuable tools that can assist you not only in covering the full syllabus but also in providing an in-depth analysis of the subjects. The Class 10 Maths NCERT Solutions Chapter 3 are available in pdf format below, and some of them are also included in the exercises.
Linear equations are made up of both constants and variables. A linear equation with two variables x and y is an equation of the form Ax + By + C = 0, where A, B, and C are real values.
A pair of linear equations in two variables is two linear equations in the same two variables. Linear equations with two variables are written in standard form:
a1x + b1y + c1 = 0, a2x + b2y + c2 = 0
where, a1, a2, b1, b2, c1, c2 are real numbers, such that a12 + b12 = 0, a22 + b22 = 0.
The necessary answer is the coordinates of the point (x, y) that satisfy the system of two linear equations in two variables. This is the point at which the two lines representing the two equations cross. There are two approaches to solving a pair of linear equations in two variables:
4. Graphical Method Of Solution Of A Pair Of Linear Equations
While solving for the above 2 linear equations, one of the three cases might arise:
To solve the above equations, use one of the three Algebraic approaches listed below:
Step 1 - From one equation, get the value of one variable, say y in terms of x or x in terms of y.
Step 2 – Substitute this number into the second equation to obtain the equation in one variable and the solution.
Step 3 – Now, substitute the value/solution acquired in step 2 into the equation obtained in step 1.
Step 1 – If the coefficients of any one variable in both equations are not the same, multiply both equations by suitable non-zero constants to make the coefficients of any one variable numerically equal.
Step 2 – Add or subtract the acquired equations to generate an equation in one variable and solve it.
Step 3 – Substitute the value of the variable obtained in step 2 into either of the original equations to obtain the value of the other variable.
We write the equations in the following way:
Q1. Explain the Graphical Method of Solutions of a Pair of Linear Equations.
Answer: Two lines are represented by the graph of a pair of linear equations with two variables.
Q2. How many exercises are there in Chapter 3 of Class 10 Maths?
Answer: Pair of Linear Equations in Two Variables is NCERT Class 10 Maths Chapter 3. This chapter has 7 exercises with 29 well-researched questions, including both graph-based and algebraic sums. Toppr has answers for every exercise. Subject matter specialists developed the NCERT Solutions for Class 10 Maths Chapter 3. You should download them in PDF format so that you can study them whenever and wherever you like.
Q3. Where can I get the Class 10 Maths Chapter 3 solutions?
One of the scoring chapters is Class 10 Maths Chapter 3, Pair of Linear Equation in Two Variables. If you want to receive the solutions for this chapter, go to Toppr's official website. We provide NCERT Solutions for Class 10 Maths in PDF format so that you may utilize them offline. The solutions can also be downloaded via the Toppr App. All you have to do is download the app from the App/Play store, sign in, and get the study material.