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Rajan@2021
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Asked: 2021-04-19T14:54:39+05:30 In:

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

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

      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=(4−3y)/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=(12−6y)/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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