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Rajan@2021
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Find the value of k for which the following systems of equations has a unique solution: 4x+ky+8=0, x+y+1=0

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This is the basic and exam oriented question from linear equations in two variables in which we have given two equations 4x+ky+8=0, x+y+1=0 and we have been asked to find the value of k and also asked to solve the equations in such a way that it has a unique solution

RS Aggarwal, Class 10, chapter 3D, question no 7

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1 Answer

  1. 4xky+8=0.....(1)
    x+y+1=0....(2)
    Here,
    a1=1, b1=k, c1=8
    a2=1, b2=1, c2=1
    System has unique solution.
    a1/a2≠b1/b2⇒4/1≠k/1
    k≠4

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