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Rajan@2021
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Find k for which the system 2x+3y-5=0, 4x+ky-10=0 has an infinite number of solution

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This is the basic and conceptual question from linear equations in two variables in which we have given two equations 2x+3y-5=0, 4x+ky-10=0 and we have to find the value of k for which the given equations have infinite number of solutions

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 3F, question no 18

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1 Answer

  1. 2x+3y−5=0
    4x+ky−10=0
    Here a1​=2, b1​=3, c1​=−5
    a2​=4, b2​=k, c2​=−10
    For infinite solution
    a1/​a​2=b1/​b1​2=c1/c2​​
    2/4​=3/k​=−5/−10​
    1​/2=3/k​=1/2​
    k=6

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