MathematicsSolve the following pairs of equations graphically.x2-y3=3 and x+y=1.

Solve the following pairs of equations graphically.


x2-y3=3 and x+y=1.


  1. A
    (-4,3)
  2. B
    (4,-3)
  3. C
    (-4,-3)
  4. D
    (4,3)  

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    Solution:

    Given equations are x2-y3=3 and x+y=1.
    The solution set of equation x2-y3=3 or 3x-2y=18 is as follows,
    If x=0 then,
    3×0-2y=18
    ⇒ -2y=18
    ⇒ y=-9 If x=4 then,
    3×4-2y=18
    ⇒ 12-2y=18 ⇒ y=-3
    The required points are (0,-9), (4,-3).
    Also, the solution set of equation x+y=1 is as follows,
    If x=0 then,
    0+y=1
    ⇒ y=1 If x=4then,
    4+y=1
    ⇒ y=1-4
    ⇒ y=-3 The required points are (0,1), (4,-3).
    Plot all the above points in the graph.
    Since the point of intersection in the graph is (4,-3).
    Hence the solution is x=4, y=-3.
    Hence, the correct option is 2.
     
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