Question

Solve:

x + y = 2xy

x - y = 6xy

Answer 1

x + y = 2xy                  ...(1)

x - y = 6xy                   ...(2)

Adding equation (1) and (2)

     x + y = 2xy
+  x - y = 6xy 
   2x = 8xy

2 = 8y

y = `1/4`

From (1)

`x + 1/4 = 2x (1/4)`

`x + 1/4 = x/2`

`x-x/2=(-1)/4`

`(2x-x)/2=(-1)/4`

`x/2=(-1)/4`

x = `(-2)/4`

x = `(-1)/2`