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Rajan@2021
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Find the value of a and b for which the system of linear equations has an infinite number of solutions: (2a-1)x+3y=5, 3x+(b-1)y=2

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This is the basic and conceptual question from linear equations in two variables in which we have given two equations (2a-1)x+3y=5, 3x+(b-1)y=2 and we have to find the value of a and b for which the solution has infinite solutions

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 3D, question no 22

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1 Answer

  1. (2a1)x+3y5=0
    3x+(b1)y=2
    Since they have infinite no. of solution ,
    (2a1​)/3=3/(b1)=−5/-2
    (2a1​)/3=3/(b1)=5/2
    4a2=15
    a=17/4
    6=5b5
    5b=11
    b=11/5

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