MathematicsSolve the following system of linear equations: 5x−7y=−50 5x+7y=−20  

Solve the following system of linear equations:


5x7y=50 5x+7y=20  


  1. A
    x = 7 and y = -2.14
  2. B
    x = -7 and y = 2.14
  3. C
    x = 7 and y = 2.14
  4. D
    x = -7 and y = -2.14 

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    Solution:

    Given pair of linear equations are 5x7y=50   and 5x+7y=20  . We need to find the value of x and y.
    We have,
    5x7y=50...(i)  
    5x+7y=20...(ii)  
    Now, adding equation (i) and (ii), we have,
    5x7y+5x+7y=5020 10x+0=70 10x=70 x= 70 10 x=7  
    Now, substituting the value of x in equation (i), we have,
    5(7)7y=50 357y=50 7y=50+35 7y=15 y= 15 7 y=2.14  
    Thus the value of x and y are -7 and 2.14
    Therefore, option 2 is correct.
     
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