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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+y=6, 6x+3y=20

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Sir please give me a detailed solution of this question in which we have given two equations 2x+y=6 and 6x+3y=20 and we have to show graphically that the following given systems of equations is inconsistent, i.e, has no solution

RS Aggarwal, Class 10, chapter 3A, question 28

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  1. 2x+y=6….(1)
    6x+3y=20……(2)

    Isolate y from equation (1) and find the value of x and y.
    2x+y=6
    or y=62x

    x y
    0 6
    1 4
    3 0

    Similarly, isolate x from equation (2) and find the values of x and y.
    6x+3y=20
    or x=(203y)/6

    x y
    10/3 0
    7/3 2
    4/3 4

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

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