shaalaa.com
S

Solution - Algebraic Methods of Solving a Pair of Linear Equations - Cross - Multiplication Method

Account
User


Login
Register


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty
ConceptAlgebraic Methods of Solving a Pair of Linear Equations - Cross - Multiplication Method  

Question

For which values of a and b does the following pair of linear equations have an infinite number of solutions?

2x + 3y = 7

(a – b) x + (a + b) y = 3a + b – 2

Solution

You need to to view the solution
Is there an error in this question or solution?

Similar questions VIEW ALL

 Solve the following system of equations by the method of cross-multiplication. `\frac{a}{x}-\frac{b}{y}=0;\text{}\frac{ab^{2}}{x}+\frac{a^{2}b}{y}=a^{2}+b^{2};` Where x ≠ 0, y ≠ 0

view solution

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic met

Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?

view solution

Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions? In case there is a unique solution, find it by using cross multiplication method

2x + y = 5

3x + 2y = 8

view solution

Solve the following system of equations by the method of cross-multiplication.

11x + 15y = – 23; 7x – 2y = 20

view solution

The time taken by a person to cover 150 km was 2 1/2 hours more than the time taken in the return journey. If he returned at a speed of 10 km/hour more than the speed while going, find the speed per hour in each direction.

view solution

Content BooksVIEW ALL [1]

Reference Material

Solution for concept: Algebraic Methods of Solving a Pair of Linear Equations - Cross - Multiplication Method. For the course 8th-10th CBSE
S