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Rajan@2021
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Asked: 2021-04-19T14:51:21+05:30 In:

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

cbse class 10linear equations in two variablesrs aggarwal
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    1. Guru
      Show graphically that the following given systems of equations is inconsistent, i.e, has no solutuion: x-2y=6, 3x-6y=0

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