SOLUTION: 1/x+1/y=3,1/x-1/y=3

Question 1015269: 1/x+1/y=3,1/x-1/y=3
Found 2 solutions by Edwin McCravy, Alan3354:
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

The main thing NOT to do in a system like this is
to clear of fractions. DO NOT clear of fractions.
Leave them as they are and use elimination just as normal.
If you add the two equations just as they are you get:

Consider the 6 as over 1:

Cross multiply:

Start over with

Multiply the 2nd equation through by -1

Add them term by term:

Cross multiply

That is meaningless, so there can be no solution.
Edwin

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1/x+1/y=3
1/x-1/y=3
--------
Sub r for 1/x, s for 1/y
r + s = 3
r - s = 3
---------- Add
2r = 6
r = 3 --> x = 1/3
-----------
s = 0 --> y = 1/0
y is undefined --> no solution.
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