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Rajan@2021
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Find the value of k for which the system 3x+5y=0, kx+10y=0 has a non zero solution.

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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 3x+5y=0, kx+10y=0  and we need to calculate the value of k for which the given equations have a nonzero solution

RS Aggarwal, Class 10, chapter 3F, question no 16

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1 Answer

  1. For a system of equations a1x+b1y+c1=0; a2x+b2y+c2=0  to have non-zero solutions, the condition to be satisfied is

    a1/a2=b1/b2=c1/c2

    ∴3/k=5/10

    or  k=6

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