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Rajan@2021
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Show graphically that the following given systems of equations has indefinitely many solutions: 3x-y=5, 6x-2y=10

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An important question from linear equations in two variables in which we have given two equations 3x-y=5, 6x-2y=10 and we have to show graphically that the following given systems of equations has indefinitely many solutions

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 3A, question no 23

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  1. 3xy=5….(1)
    6x2y=10……(2)
    Isolate x from equation (1) and find the value of x and y.
    3xy=5
    or y=3x5

    x y
    0 5
    1 2
    3 4

    Similarly, isolate x from equation (2) and find the values of x and y.
    6x2y=10
    or x=(10+2y)/6

    x y
    2 1
    4 7
    3 4

    Graph:
    Both the lines coincide each other. Which shows that system has infinite many solutions.

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