Question 1036350
Solve for x and y
{{{15/((x-y))}}} + {{{22/((x+y))}}} = 5
{{{40/((x-y))}}} + {{{55/((x+y))}}} = 13 
use elimination, multiply the 1st equation by 8, the 2nd equation by 3
{{{120/((x-y))}}} + {{{176/((x+y))}}} = 40
{{{120/((x-y))}}} + {{{165/((x+y))}}} = 39
------------------subtraction eliminates (x-y), find (x+y) 
{{{11/((x+y))}}} = 1 
x + y = 11
:
use elimination again, multiply the 1st equation by 5, the 2nd equation by 2
subtract the 1st equation from the 2nd eq
{{{80/((x-y))}}} + {{{110/((x+y))}}} = 26
{{{75/((x-y))}}} + {{{110/((x+y))}}} = 25
--------------------subtraction eliminates (x+y), find (x-y) 
{{{5/((x-y))}}} = 1 
x - y = 5
:
Use elimination a 3rd time with these two equation
x + y = 11
x - y = 5
---------------Adding eliminates y, find x
2x = 16
x = 16/2
x = 8
:
I will let do the easy job of finding y. Check the solutions in the original problem