Question

x/2 - 1/y =1 and 1/x + y/2 =8 find x and y​

Answer 1

Answer:

x/2 - 1/y = 1

(xy-2)/2y = 1

xy-2 = 2y ....1st equation

and,

1/x + y/2 = 8

(2+xy)/2y = 8

2+xy = 16y ....2nd equation

by adding eq.1 and eq.2...

xy-2 = 2y

-xy-2 = -16y (sign change in eq.2)

-4 = -14y

y = 4/14

y = 2/7

put the value of y in eq.1

xy-2 = 2y

(2/7)x-2 = 4/7

(2/7)x = (4/7)+2

(2/7)x = 18/7

x = (18/7)(7/2)

x = 9

Hence,

x = 9, y = 2/7

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