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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: 2x+3y-5=0, kx-6y-8=0

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One of the most important and conceptual question from linear equations in two variables in which we have given two equations 2x+3y-5=0, kx-6y-8=0 and we have to solve the equations in such a way that it has a unique solution and also we have to find the value of k

Kindly solve the above equations

RS Aggarwal, Class 10, chapter 3D, question no 4

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1 Answer

  1. 2x+2y5=0.....(1)
    kx6y8=0....(2)
    a1=2, b1=3, c=5
    a2=k, b2=6, c2=8
    a1/a2=2/k, b1​/b2=3/−6
    Which shows
    a1/a2≠b1/b2
    System has a unique solution.
    Now. Find the value of k:
    2/k≠3/6
    k≠4

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