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Rajan@2021
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Show that the system of equations 6x+5y=11, 9x+15y/2=21 has no solution.

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An important and conceptual question from linear equations in two variables in which we have given two equations 6x+5y=11, 9x+15y/2=21 and we have been asked to solve the equations in such a way that it has no solution

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 3D, question 11

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1 Answer

  1. Here,
    a1​=6, b1​=5, c1​=−11
    a2​=9, b2​=15/2, c2​=−21

    a1/​a​2=6/9=2/3​

    b1/b1​2=2/3​

    c1/c1​2=11/21​

    Therefore,
    a1/a2​​=b1/b2≠c1/c2​​
    System of equations has no solution.

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