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Ab+ac/a=b+ac Equalityby Cornraker
Tags: equality 
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#1
Jan2610, 09:49 AM

P: 24

1. The problem statement, all variables and given/known data
So i get a home work problem that goes like this. ab+ac/a=b+ac. is the left side of the equation not equal to or equal to the right side? 


#2
Jan2610, 10:02 AM

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[tex]ab + \frac {ac} {a} = b + ac[/tex]
or [tex]\frac {ab + ac} {a} = b + ac[/tex] ? 


#3
Jan2610, 11:18 AM

P: 24

thanks Borek. My answers in the back of my textbook say it is not equal but i can't figure out why. ill ask my teacher tommorow i just wanted to get some help ahead of time. thanks



#4
Jan2610, 01:31 PM

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Ab+ac/a=b+ac Equality



#5
Jan2610, 01:49 PM

P: 1,084

either way they arent equal. so what does it matter



#6
Jan2610, 01:59 PM

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#7
Jan2610, 02:52 PM

P: 1,084

And for the record, you support your statements poorly. Why should i know this? oh because its better to know then not to know? 


#8
Jan2610, 03:30 PM

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Well, the second equation is equal when a=1...
And the first equation is equal when a=1 and b=c. They aren't necessarily unequal. 


#9
Jan2610, 03:30 PM

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#10
Jan2610, 03:59 PM

P: 24

Ok I looked at it again and I do realize he was just asking which form of the problem I meant and the second one is the correct one. I still do not understand why they are unequal.



#11
Jan2610, 04:39 PM

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[tex]\frac {ab + ac} {a} = \frac{a(b + c)}{a} = b + c \neq b + ac[/tex]
The first and last expressions above are not identically equal. They are conditionally equal for some values of the variables, such as a = 1. 


#12
Jan2610, 04:59 PM

P: 1,084

Cornraker, just because they are equal for some values does not in a sense warrant that equal sign.



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