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NCERT Solutions for Class 10 Maths Chapter 3: Pair of Linear Equations in Two Variables are provided in this article. A pair of linear equations in two variables having a solution is known as a consistent pair of linear equations. Equivalent pair of linear equations has infinitely many distinct common solutions, such a pair of solutions is known as a dependent pair of linear equations in two variables.
Class 10 Maths Chapter 3 Linear Equations in Two Variables belongs to Unit 2 Algebra which has a weightage of 20 marks in the CBSE Class 10 Maths Examination. The NCERT solutions of the chapter include questions related to the Substitution method, Elimination method, and Cross-multiplication method.
Download PDF: NCERT Solutions for Class 10 Mathematics Chapter 3
NCERT Solutions for Class 10 Mathematics Chapter 3
Important Topics in Class 10 Maths Chapter 3
- Linear Equations are the equations in which the powers of all the involved variables are one.
| The general form of a linear equation in two variables is ax + by + c = 0, where a and b cannot be simultaneously zero. |
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The solution of a linear equation in two variables is generally a pair of values, one for x and the other for y, which makes the two sides of the equation equal.
| For example: If 3x + y = 6, then (0,6) is one of its solutions as it satisfies the equation. |
- Graph of Linear Equation in two variables: A linear equation in two variables can be geometrically represented as a straight line.
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- A pair of linear equations in two variables can be represented as shown below –
| \(a_1x + b_1y+c_1=0\\ a_2x + b_2y+c_2=0\) |
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The solution for a consistent pair of linear equations can be found using various methods.
| i) Elimination method iii) Cross-multiplication of solving linear equations iv) Graphical method |
NCERT Solutions For Class 10 Maths Chapter 3 Exercises:
The detailed solutions for all the NCERT Solutions for Pair of Linear Equations in Two Variables under different exercises are as follows:
Related Topics:
CBSE Class 10 Mathematics Study Guides:
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