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35 14Solve forx and yxt-y +x-y =19 , x+ y +x-s-87Q-19

Answer»

Let 1/(x+y)=m ; 1/(x-y)=n ; So the equations become, 35m+14n=19 (1)14m+35n=37 (2)Adding 1 and 2,49m+49n=567m+7n=8 (3)Subtracting 1 and 2,21m-21n=-18 7m-7n=-6 (4)Adding 3 and 4,14m=2 m=1/7 So x+y=7. (5)1+7n=8 n=1 x-y=1. (6)Adding 5 and 6,2x=8 ,x=4,4+y=7 y=3.



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