Home
Class 10
MATHS
For which values of a and b does the fol...

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`

Text Solution

Verified by Experts

The correct Answer is:
a = 5, b = 1
Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 3.6)|11 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 3.7)|12 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 3.4)|9 Videos
  • KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD (MODEL QUESTION PAPER)

    OSWAAL PUBLICATION|Exercise QUESTION|42 Videos
  • POLYNOMIALS

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 9.4)|6 Videos

Similar Questions

Explore conceptually related problems

For which values of a and b does the following pair of linear equatons have an infinite number of solutions ? 2x+3y=7 (a-b)x+(a+b)y=3a+b-2

For what values of a and b does the following pair of linear equations have infinite number of solution ? 2x+3y=7, a(x+y)-b(x-y)=3a+b-2

Find the values of alpha and beta for which the following pair of linear equations has infinite number of solutions : 2x+3y=7, 2alpha x + (alpha+beta)y=28 .

For what value of k, the pair of linear equations kx-4y=3, 6x-12y=9 has an infinite number of solutions ?

Determine the values of m and n so that the following system of linear equations have infinite number of solutions : (2m-1)x+3y-5=0 3x+(n-1)y-2=0

For which value of k will the following pair of linear equations have no solution ? 3x+y=1 (2k-1)x+(k-1)y=2k+1

For which value of k will the following pair of linear equations have no solutions? 3x+y=1 (2k-1)x+(k-1)y=2k+1

For which value of k will the following pair of linear equations have no solution ? 3x+y=1 (2k-1)x+(k-1)y=2k+1

Find the value of k for which the following pair of linear equations has infinitely many solutions. 2x+3y=7" and "(k-1)x+(x+2)y=3k .

Solve the following pair of linear equations by any suitable method. x+y = 5 " " 2x-3y=5