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Rajan@2021
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Show graphically that the following given systems of equations is inconsistent, i.e, has no solutuion: x-2y=6, 3x-6y=0

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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 x-2y=6 and 3x-6y=0 and we have to show graphically that the following given systems of equations is inconsistent, i.e, has no solutuion

Kindly give me a detailed solution of this question

RS aggarwal, Class 10, chapter 3A, question no 26

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  1. x2y=6….(1)
    3x6y=0……(2)
    Isolate x from equation (1) and find the value of x and y.
    x2y=6
    or x=6+2y

    x y
    6 0
    4 1
    0 3

    Similarly, isolate x from equation (2) and find the values of x and y.
    3x6y=0
    or x=2y

    x y
    0 0
    2 1
    4 2

    Graph:
    From the graph, we can see that both the lines are parallel to each other.
    This system has no solution.

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