Question

solve the equation and find the value of x and y
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Answer 1

Answer:

The required solution is  x = -1 and y = 1/6

Step-by-step explanation:

$\frac{xy}{x + y}$ = $\frac{1}{5}$          (take reciprocal)

$\frac{x + y}{xy}$ = 5        

1/y + 1/x = 5       . . . . . . .(1)

$\frac{xy}{x - y}$  = 1/7       (take reciprocal)

$\frac{x - y }{xy}$  = 7

1/y - 1/x = 7      . . . . . . . .(2)

Add (1) and (2)

2/y = 12

   y = 2/12

  y = 1/6

From (1)

1/x = 5 - 6

1/x = - 1

 x = -1