NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables (Ex 3.1) Exercise 3.1
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The first exercise of NCERT solutions for Class 10 Maths Chapter 3 covers the topic of pair of linear equations with two variables. It is discussed in a way to make students understand the critical concept in a simplified manner. They need to solve and practice the entire question set diligently for their board exam preparation.
Ex 3.1 Class 10 deals with the pairing of two variables in one or more linear equations and finds the solution of that equation by employing different approaches. The Exercise 3.1 Class 10 Maths book highlights the method of substituting the value of variables with numbers and solving them simultaneously on both sides. If the outcome is equal on both sides, it is proved as a linear equation.
The alternative way of finding solutions through the algebraic approach is by using substitution where the variables are replaced with numbers and are equated by finding the value of x and y. Students can have a detailed understanding of this method and practice them thoroughly in the upcoming exercises of this chapter. It also gives an overview of other ways of calculation like elimination, cross multiplication, reduction of a nonlinear equation to linear form, etc.
Other exercises covered in this chapter are as follows.
Chapter 3 Maths Class 10 - Exercise 3.2
This exercise of NCERT solutions for Class 10 Maths Chapter 3 PDF deals with the solving of linear equations from the geometrical point of view. In this exercise, the comparisons are graphically represented and drawn according to the instructions to assess if the two variables intersect each other, stand parallel or coincide.
Chapter 3 Maths Class 10 - Exercise 3.3
This Ch 3 Maths Class 10 exercise focuses on solving linear equations by incorporating algebraic methods.
Chapter 3 Maths Class 10 - Exercise 3.4
The fourth exercise of NCERT solutions for Class 10 Maths Chapter 3 starts with an alternative method, i.e., the method of elimination. In this process, one variable is removed, and the following steps are obtained by multiplying the equations with suitable numbers.
Chapter 3 Maths Class 10 - Exercise 3.5
The cross multiplication procedure in this chapter primarily based on the pair of linear equations in two variables explains a different algebraic method. After employing the elimination method on given equations, the resultant equations have to be multiplied by suitable numbers to get the value of variables.
Chapter 3 Maths Class 10 - Exercise 3.6
This exercise of Chapter 3 Class 10 Maths explains the procedure of reducing a nonlinear equation to a linear form. It is a unique approach for a better understanding of students where a nonlinear equation is reduced to a linear form by the process of substitution or elimination.
The study module covers all essential concepts for exam preparation like real numbers, polynomials, pairs of linear equations, and so on. With a special focus on Exercise 3.1 Class 10 Maths, Vedantu also provides online study material for all subjects for step by step learning.
Chapters like an introduction to trigonometry, circles, constructions, and mensuration are also included in this book which is dealt with and explained accurately by our expert mentors. Students can download this solution, which is available online in PDF format. Mathematics, as a subject, helps students acquire problem-solving skills along with developing an affinity for logical reasoning.
In this solution, answers to the questions of Chapter 3 Maths Class 10, i.e., pairs of linear equations in two variables are explained as per the latest syllabus provided by NCERT. Easy and quick access to subject-wise books for all classes helps a student to avail of detailed guidance along with step by step assistance for exam preparation.
Let’s have a look at the exercises covered in the NCERT solutions for Class 10 Maths Chapter 3 with particular attention to Exercise 3.1. A detailed explanation of all methods in the chapter content will guide students accordingly and help them acquire expertise and accuracy in problem-solving.
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The study materials available at our websites contain subject-wise NCERT PDF books for all classes to help them gain comprehensive knowledge and prepare for the approaching exams. Make yourself exam ready with our exclusive study guide and download the free PDF books to score high in your exam. If you stumble upon any difficult concept, know that we are just a click away.
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