SOLUTION: I was given this equation: x/x+5 = 2/x+5 - 2/3 And told that I need to find the "excluded value." I'm not entirely sure what this means, and I do not know how to solve this problem

Algebra ->  Equations -> SOLUTION: I was given this equation: x/x+5 = 2/x+5 - 2/3 And told that I need to find the "excluded value." I'm not entirely sure what this means, and I do not know how to solve this problem      Log On


   

Question 1015449: I was given this equation: x/x+5 = 2/x+5 - 2/3 And told that I need to find the "excluded value." I'm not entirely sure what this means, and I do not know how to solve this problem. Any sort of help would be immensely appreciated. Thank you.
Found 2 solutions by macston, Alan3354:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
"Excluded values" are values that would make the denominator equal zero.
Since division by zero is undefined, these values are excluded from
being solutions.
.
Excluded value when: x+5=0
Excluded value when: x=-5
.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x/x+5 = 2/x+5 - 2/3
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x%2Fx%2B5+=+2%2Fx%2B5+-+2%2F3
1+=+2%2Fx+-+2%2F3
5%2F3+=+2%2Fx
5x = 6
x = 6/5
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x = 0 is excluded because x/x and 2/x are undefined.