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Question
Solve:
x + y = 2xy
x - y = 6xy
Solution
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`
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