MathematicsSolve the following pair of linear equations graphically: 2x-y=3 and 3x+2y=8

Solve the following pair of linear equations graphically:


2x-y=3 and 3x+2y=8


  1. A
    x = 2 and y =1
  2. B
    x = 2 and y= 2
  3. C
    x = 1 and y = 2
  4. D
    x = 1 and y =1 

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    Solution:

    Given pair of linear equations are,
    2xy=3  .... (1)
    3x+2y=8   … (2)
    Solving the equation (1), writing y in terms of x and making the table of the co-ordinates,
    2x-y=3 
    y=2x-3 

    x

    y

    0

    -3

    2

    1

    Solving the equation (2), writing y in terms of x and making the table of the co-ordinates,
     3x+2y=8
     2y= 8 - 3
    y=8-3x2

    x

    y

    0

    4

    2

    1

    Plotting both equations on the graph.
     Since both the equations intersect at A(2,1), the solution of the pair of linear equations are x = 2 and y = 1.
    Hence, option (1) is correct.
     
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