Question

can anyone solve this please

Answer 1

Let the value of 1/x+y be a and 1/x-y be b

16a+4b=11/6
20a+20b=25/6

multiply all equation by 6, we get
96a+24b=11. -(i)
120a+120b=25. -(ii)

multiply (i) by 5, we get

480a+120b=55
120a+120b=25
-. -. -.
------------------------
360a=30
:.a=1/12
:.x+y=12

120×1/12+120b=25
10+120b=25
120b=15
:.b=1/8
:.x-y=8

x+y=12
x-y=8
+. +. +.
------------
2x=20
:.x=10

y=12- 10
:.y= 2