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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: kx+3y=k-3, 12x+ky=k

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One of the most important and exam oriented question from linear equations in two variables in which we have given two equations kx+3y=k-3, 12x+ky=k  and we have to find the value of k and also asked to solve the equations in such a way that it has a unique solution

Book-RS Aggarwal, Class 10, chapter 3D, question no 9

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1 Answer

  1. Here,
    a1=k, b1=3, c1=k3
    a2=12, b2=k, c2=k

    a1/a2≠b1/b2⇒k/12≠3/k
    System has unique solution.

    k²≠36
    k≠√±36
    k≠±6
    k is not equal to 6 or 6.

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