NCERT Solutions Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables on Padhaiwise

NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Exercise 3.1

Mon, 01 Jan 0001 00:00:00 +0000

NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Exercise 3.1#

Welcome to our comprehensive NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.1. This exercise covers forming and solving pairs of linear equations graphically, checking consistency of pairs of equations, and understanding the geometric interpretation of solutions.

Consistency of a pair of linear equations $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$:

NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Exercise 3.2

Mon, 01 Jan 0001 00:00:00 +0000

NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Exercise 3.2#

Welcome to our NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.2. This exercise teaches the Substitution Method to solve pairs of linear equations algebraically. The substitution method involves expressing one variable in terms of the other and substituting into the second equation to solve the system.

Substitution Method Steps:

From one equation, express one variable in terms of the other (e.g., $x$ in terms of $y$)
Substitute this expression into the second equation
Solve the resulting single-variable equation
Substitute back to find the other variable

1. Solve the following pair of linear equations by the substitution method. #

(i) $x + y = 14$; $x - y = 4$

$$x + y = 14 \quad \cdots (1)$$

NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Exercise 3.3

Mon, 01 Jan 0001 00:00:00 +0000

NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Exercise 3.3#

Welcome to our NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.3. This exercise focuses on the Elimination Method (also called the addition/subtraction method) for solving pairs of linear equations. The method involves making the coefficients of one variable equal and then adding or subtracting the equations to eliminate that variable.

Elimination Method Steps: