Class 10th Example 8,9 10 Ch-3 Pair of Linear Equations in two variables

We guided students through the concepts and practical calculations for Examples 8, 9, and 10 from the NCERT textbook, demonstrating algebraic formulations alongside checking logic. 📖 Key Examples Covered in this Lesson: Example 8 [00:00] - Income & Expenditure Problem: Learn how to set up linear equations using ratio distributions. Given the income ratio (9:7) and expenditure ratio (4:3) of two individuals who each save ₹2,000 monthly, the video breaks down how to eliminate a variable to find their exact monthly incomes. Example 9 [13:15] - System with No Solution: The tutor demonstrates how to deal with a linear system where both variables (x and y) cancel out during subtraction, resulting in a false mathematical statement (0 = 9). It explains visually why this condition signifies a parallel line structure with no solution. Example 10 [15:36] - Two-Digit Number Reversal Problem: A detailed look at numbers changing based on reversing their units and tens places (10y + x). The example solves a word problem where the original number and its reversed counterpart sum to 66, and individual digits differ by 2, resulting in two distinct valid numbers.