Adv
Rajan@2021
  • 0
Guru

Find the value of a and b for which the system of linear equations has an infinite number of solutions: 2x-3y=7, (a+b)x-(a+b-3)y=4a+b

  • 0

This is the basic and conceptual question from linear equations in two variables in which we have given two equations 2x-3y=7, (a+b)x-(a+b-3)y=4a+b and we have to find the value of a and b for which it has infinite solutions

Kindly solve the above equations

RS Aggarwal, Class 10, chapter 3D, question no 23

Share

1 Answer

  1. The equations are
    2x3y7=0
    (a+b)x(a+b3)y(4a+b)=0
    Here, a1=2,b1=3,c1=7
    a2=a+b,b2=(a+b3),c2=(4a+b)
    The system of linear equations has infinite solutions
    a1​/a2=b1​/b2=c1/c2
    ⇒2/(a+b)=-3/(a+b3)=-7/(4a+b)
    ⇒2/(a+b)=3/(a+b3)
    2a+2b6=3a+3b
    b=a6
    Again, we have
    ⇒3/(a+b3)=7/(4a+b)
    12a+3b=7a+7b21
    5a4b=21
    Putting b=a6
    5a4(a6)=219a=45
    a=5
    Putting  a=5 in b=a6
    b=(5)6b=1
    a=5,b=1

    • 0
Leave an answer

Leave an answer

Browse

Choose from here the video type.

Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs".

Captcha Click on image to update the captcha.

Related Questions