MathematicsSolve the following pair of linear equations graphically: x + y=4 and 3x-2y=-3

Solve the following pair of linear equations graphically:


x + y=4 and 3x-2y=-3


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

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    Solution:

    Given equations are,
    x+y=4  (1)
    3x-2y=-3  (2)
    Solving the equation (1), writing y in terms of x and making the table of the co-ordinates,
    x+y=4 
    y=4-

    x

    y

    0

    4

    1

    3

    Solving the equation (2), writing y in terms of x and making the table of the co-ordinates,
    3x-2y=-3
     2y=3x+3
    y=3x+32

    x

    y

    -1

    0

    1

    3

    Plotting both equations on the graph,
    Since both the equations intersect at A(1,3), the solution of linear equations are x = 1 and y = 3.
    Hence, option (1) is correct.
     
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