Question

Solve 20/x−y+ 22/x+y=5 and 10/x-y=33/x+y =8
please answer fast

Answer 1

Given :

20/(x - y)  + 22/(x  + y)  = 5

10/(x - y)  + 33/(x  + y)  = 8

To Find : x & y

Solution:

Let say 1/(x - y)  = u     1/(x + y) = v

=> 20u  + 22v  = 5

    10u  +  33v  = 8   => 20u + 66v  = 16

=> 44v = 11

=> v = 11/44

=> v = 1/4

     u = - 1/40

1/(x - y)  = u   = -1/40

=> x - y = - 40

1/(x + y)  = v = 1/4

=> x + y = 4

=> 2x = - 36

=> x = - 18

   y = 22

x = - 18

y = 22

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