SOLUTION: Can you please help me understand this? I think I'm way over thinking this and just confusing myself... Thanks so much for your time... For which integers a, b, c does a -b –c=

Algebra ->  Expressions -> SOLUTION: Can you please help me understand this? I think I'm way over thinking this and just confusing myself... Thanks so much for your time... For which integers a, b, c does a -b –c=       Log On


   

Question 235528: Can you please help me understand this? I think I'm way over thinking this and just confusing myself... Thanks so much for your time...
For which integers a, b, c does a -b –c= a-(b – c)?
Justify your answer.
Found 2 solutions by josmiceli, ankor@dixie-net.com:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
a+-+b+-+c+=+a+-%28b+-+c%29
a+-+b+-+c+=+a+-+b+%2B+c
If I subtract a-b from both sides, I get
-c+=+c
The only number this is true for is c+=+0
a and b can be anything
check:
Let a+=+47
Let b+=+23
a+-+b+-+c+=+a+-%28b+-+c%29
47+-+23+-+0+=+47+-%2823+-+0%29
24+=+24

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
For which integers a, b, c does a -b –c= a-(b – c)?
:
I think a or b can be any value, however, c = 0
:
a - b - c = a -(b - c)
Subtract a from both sides
-b - c = -(b - c)
Remove brackets
-b - c = -b + c
In order for this to be true c = 0, right?