SOLUTION: Prove: For all real numbers a,b and c, if a+c=b+c, then a=b

Algebra.Com
Question 327161: Prove: For all real numbers a,b and c, if a+c=b+c, then a=b
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
You can't prove it.
It an identity that forms the foundation of mathematics.
.
.
.
It's like saying prove in baseball that 3 strikes are an out.
You can't do it, it's given as a rule.

RELATED QUESTIONS

Prove: For all real numbers a, b, and c, if a + c = b + c, then a =... (answered by Fombitz)
HELP. I don't get real number stuff or how to do this problem. Cab you help me? Prove:... (answered by jim_thompson5910)
In the following problem a, b, c and d represent real numbers. Prove: If a = b and c (answered by asdfg123)
In the following problem a, b, c and d represent real numbers. Prove: If a = b and c < (answered by Theo,richard1234)
In the following problem a, b, c and d represent real numbers. Prove: If a = b and c <... (answered by )
is it true for all nonzero real numbers a,b and c that a/b+c = a/b +... (answered by greenestamps,ikleyn)
is it true for all nonzero real numbers a,b and c that a/(b+c) =a/b +... (answered by ikleyn)
if a,b,c are three distinct real numbers in geometric progression and a+b+c=xb then prove (answered by KMST)
If c = a x b and b = a x c then prove that b = c =... (answered by ikleyn)