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Rajan@2021
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Show that the system of equations 2x-3y=5, 6x-9y=15 has an infinite number of solutions.

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An important and exam oriented question from linear equations in two variables in which we have given two equations 2x-3y=5, 6x-9y=15  and we have to show that these equations have infinite number of solutions

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

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  1. 2x3y=5,6x9y=15
    Here,
    a1=2, b1=3, c1=5
    a2=6, b2=9, c2=15

    a1/a2=2/6=1/3, b1/b2=−3/−39=1/3
    and
    a1/a2=b1/b2=c1​/c2
    This system has an infinity number of solution.

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