MathematicsSolve the following pair of linear equations by the method of elimination.x+y=7 and 5x+12y=7.

Solve the following pair of linear equations by the method of elimination.


x+y=7 and 5x+12y=7.


  1. A
    x=11 and y=-4
  2. B
    x=1 and y=7
  3. C
    x=13 and y=6
  4. D
    x=1 and y=-3  

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    Solution:

    Given solutions are,
    x+y=7 .... (1)
    5x+12y=7 ....(2)
    Multiply (1) by 5, we get,
    5x+5y=35....(3)
    Subtracting (2) from (3), we get,
    5y-12y=35-7 -7y=28
     y=-4 Substituting value of in (1), we get,
    x-4=7 x=11 Hence, the correct option is 1.
     
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