SOLUTION: 1/x +1/y =5 1/y +1/x =1

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Question 1162120: 1/x +1/y =5
1/y +1/x =1
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
system%281%2Fx+%2B1%2Fy+=5%2C%0D%0A1%2Fy+%2B1%2Fx+=1%29

In the second equation, reverse the terms on the left:

system%281%2Fx+%2B1%2Fy+=5%2C%0D%0A1%2Fx+%2B1%2Fy+=1%29

Subtract the equations term-by term:

0+%2B0+=4%29

0=4

That's false so there is no solution.

Edwin

Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
.

In short terms,  the problem says that the same expression   1%2Fx + 1%2Fy   has two different values.

But the common sense,  which you had a chance to develop in the school,  tells you that it  NEVER  may  happen.


So,  the problem  HAS  NO  solution/solutions.


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Albert Einstein said once  (as a joke)  that the common sense is what remained in our head when we forgot everything that we learned in school . . .

I don't know if it is applicable to me . . . , since I remember everything I learned in school . . .