MathematicsWhat is the value of x in 41x – 17y = 99, 17x – 41y = 75?

What is the value of x in 41x - 17y = 99, 17x - 41y = 75?


  1. A
    1
  2. B
    2
  3. C
    3
  4. D
    4 

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    Solution:

    Given lines, 41x - 17y = 99…(1), 17x - 41y = 75…(2)
    Add (1) and (2).
    ⇒ 58x - 58y = 174
    ⇒ x - y = 3…(3)
    Subtract (2) from (1).
    ⇒ 24x + 24y = 24
    ⇒ x + y = 1…(4)
    Add (3) and (4).
    ⇒ 2x = 4
    ⇒ x = 2
    Hence, option  2 is correct.
     
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