MathematicsSolve the following pairs of equations, graphically.3x-4y=1 and x-2y+1=0.

Solve the following pairs of equations, graphically.


3x-4y=1 and x-2y+1=0.


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

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    Solution:

    Given equations,
    3x-4y=1 ... (1) and,
    x-2y+1=0 ... (2)
    The solution set of equation 3x-4y=1 is as follows.
    If x=-1 then,
    3×-1-4y=1
    ⇒ -3-4y=1
    ⇒ -4y=4
    ⇒ y=-1 If x=3 then,
    3×3-4y=1
    ⇒ 9-4y=1
    ⇒ -4y=-8
    ⇒ y=2 The required points are (-1,-1), (3,2).
    Also, the solution set of equation x-2y+1=0 or x-2y=-1 is as follows.
    If x=1 then,
    1-2y=-1
    ⇒ -2y=-2
    ⇒ y=1 If x=3 then,
    3-2y=-1
    ⇒ -2y=-4
    ⇒ y=2 The required points are (1,1), (3,2).
    Plot all the above points in the graph.
    Since the point of intersection in the graph is (3,2).
    Therefore, the solution of the given equations is x=3, y=2.
    Hence, the correct option is 4.
     
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