MathematicsSolve the following pair of equations.25x-24y=197, 24x-25y=195.

Solve the following pair of equations.


25x-24y=197, 24x-25y=195.


  1. A
    x=1,y=-3
  2. B
    x=9,y=-3
  3. C
    x=5,y=-3
  4. D
    x=3,y=-3  

    Fill Out the Form for Expert Academic Guidance!l



    +91



    Live ClassesBooksTest SeriesSelf Learning



    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    The given equations are,
     25x-24y=197  ...(1)
     24x-25y=195...(2)
    On adding equations (1) and (2), we get,
    49x-49y=392 ⇒ x-y=8....(3)
    On subtracting equation (2) from equation (1), we get,
    ⇒ x+y=2....(4)
    On adding equations (3) and (4), we get,
    ⇒ 2x=10 ⇒ x=5 By putting x=5 in equation (4), we get,
    ⇒ 5+y=2 ⇒ y=-3 Hence, the correct option is 3.
        
    Chat on WhatsApp Call Infinity Learn