Question

x+y/xy = 1
x-y/xy = 5

Answer 1

Answer:

x = 1/3, y = -1/2

Step-by-step explanation:

x+y/xy = 1 => x + y = xy...(i)

x-y/xy = 5=> x - y = 5xy... (ii)

Add both the equations (i) and (ii):

x + y + x - y = xy + 5xy

2x = 6xy

Divide both the sides by 2x

1 = 3y

y = 1/3

Subtract both equations (i) and (ii):

x + y - (x - y) = xy - 5xy

2y = -4xy

Divide both the sides by 2y;

1 = -2x

x = -1/2

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