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Find the value of k for which the following systems of equations has no solution: 8x+5y=9, kx+10y=15

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This is the basic and conceptual question from linear equations in two variables in which we have given two equations 8x+5y=9, kx+10y=15 and we have to solve the equations in such a way that it has no solution and also asked to find the value of k from the above equations

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 3D, question no 27


1 Answer

  1. For the system to have infinitely many solutions, lines must coincide each other

    ratio of respective coefficients must be equal (x, y and constant coefficients)



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