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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 solution: 2x+3y=4, 4x+6y=12

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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 2x+3y=4 and 4x+6y=12 we have to show graphically that the following given systems of equations is inconsistent, i.e, has no solution

Kindly give me a detailed solution of this question

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

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  1. 2x+3y=4….(1)

    4x+6y=12……(2)

    Isolate x from equation (1) and find the value of x and y.
    2x+3y=4
    or x=(43y)/2

    x y
    2 0
    1 2
    5 2

    Similarly, isolate x from equation (2) and find the values of x and y.
    4x+6y=12
    or x=(126y)/4

    x y
    3 0
    0 2
    3 4

    Graph:
    From the graph, both the lines are parallel.
    Therefore given system has no solution.

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