Reply to Re: I'm baffled... help
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Your first assumption (eq. 1) a+b=c contains the solution to the apparent impossibility:
If a+b = c then a+b-c = c-c (subtract c from both sides to maintain the equality)
this becomes a+b-c = 0 because c-c = 0
Now substitute this into your final equation;
4(a+b-c) = 3(a+b-c)
4(0) = 3(0)
0 = 0
NOT 4=3
Also, your final term is mistyped (a+b+c) should be (a+b-c)
It is NOT a valid math operation to "omit" a term. You must perform the same mathematical operation (+-*/) on each side of the equation. The is no such operation as "omit"...
If a+b = c then a+b-c = c-c (subtract c from both sides to maintain the equality)
this becomes a+b-c = 0 because c-c = 0
Now substitute this into your final equation;
4(a+b-c) = 3(a+b-c)
4(0) = 3(0)
0 = 0
NOT 4=3
Also, your final term is mistyped (a+b+c) should be (a+b-c)
It is NOT a valid math operation to "omit" a term. You must perform the same mathematical operation (+-*/) on each side of the equation. The is no such operation as "omit"...
