Chapter 3 – Pair of Linear Equations in Two Variables

For which values of p does the pair of equations given below has unique solution ? 4x + py + 8 = 0, 2x + 2y + 2 = 0 2x + 2y + 2 = 0 For which values of p does the pair of equations given below has unique solution ? 4x + [...]

From a bus stand in Bangalore, if we buy 2 tickets to Malleswaram and 3 tickets to Yeshwanthpur, the total cost is rs.46; but if we buy 3 tickets to Malleswaram and 5 tickets to Yeshwanthpur the total cost is rs.74. Find the fares from the bus stand to Malleswaram, and to Yeshwanthpur.​ and to [...]

The sum of a two digit number and the number obtained by reversing the digits is 66. If the digit of the number differ by 2, find the number. How many such numbers are there? find the number. How many such numbers are there? The sum of a two digit number and the number obtained [...]

Use elimination method to find all possible solutions of the pair of linear equations: 2x + 3y = 8, 4x + 6y = 7 4x + 6y = 7 Use elimination method to find all possible solutions of the pair of linear equations: 2x + 3y = 8 October 3, 2020 Category: Chapter 3 - [...]

The ratio of income of two persons is 9:7 and the ratio of their expenditure is 4:3. If each of them manages to save Rs. 2000 per month, find their monthly incomes. find their monthly incomes. The ratio of income of two persons is 9:7 and the ratio of their expenditure is 4:3. If each [...]

Let us consider the Example 3 of Section 3.2. Will the rails cross each other? x + 2y- 4 = 0, 2x + 4y – 12 = 0 2x + 4y - 12 = 0 Let us consider the Example 3 of Section 3.2. Will the rails cross each other? x + 2y- 4 = [...]

Let us consider Example 2 in Section 3.3, i.e., the cost of 2 pencils and 3 erasers is Rs 9 and the cost of 4 pencils and 6 erasers is Rs 18. Find the cost of each pencil and each eraser. i.e Let us consider Example 2 in Section 3.3 the cost of 2 pencils [...]

Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” (Isn’t this interesting?) Represent this situation algebraically and graphically. "Seven years ago Aftab tells his daughter I shall be three times as [...]

Solve the following pair of equations by substitution method: 7x – 15y = 2, x + 2y = 3 Solve the following pair of equations by substitution method: 7x – 15y = 2 x + 2y = 3 October 3, 2020 Category: Chapter 3 - Pair of Linear Equations in Two Variables , Exercise 3.7 [...]

Champa went to a ‘Sale’ to purchase some pants and skirts. When her friends asked her how many of each she had bought, she answered, The number of skirts is two less than twice the number of pants purchased. Also, the number of skirts is four less than four times the number of pants purchased. [...]