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Rajan@2021
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Asked: 2021-04-26T15:41:23+05:30 In:

Find the value of k for which the system of linear equations has an infinite number of solutions: (k-3)x+3y=k, kx+ky=12

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This is the basic and conceptual question from linear equations in two variables in which we have given two equations (k-3)x+3y=k, kx+ky=12 and we have to find the value of k for which the following equations has infinite solutions

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 3D, question no 20

cbse class 10linear equations in two variablesrs aggarwal
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    1. Guru

      Using conditions for consistency of equations,given system has infinitely many solutions if

      (k−3​)/k=3​/k=k/12​

      ⟹3×12=k²

      ⟹k=6 or k=−6

      Subtituting in (k−3)/k​=3/k​

      we found that k=6 is solution

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