Question

1/5x +1/6y = 12 ; 1/3x - 3/7y = 8

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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given : 1/5x +1/6y = 12 ; 1/3x - 3/7y = 8

To find :  Solve for x  & y

Solution:

Let say  u  = 1/x    & v  =  1/y

   1/5x +1/6y = 12

=> u/5  + v/6  = 12  

=> 6u  + 5v  = 360    Eq1

1/3x - 3/7y = 8

u/3  -  3v/7  =  8

=> 7u  - 9v  =  168     Eq2

9 * eq1   + 5 * eq2

=> 54u + 35u  =  3240 + 840

=> 89u  = 4080

=> u = 4080/89

=> x =  89/4080

7 * eq1  - 6 * eq2

=> 35v + 54v   = 2520 - 1008

=> 89v  =  1512

=> v = 1512/89

=> y = 89/1512

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