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 Post subject: 0=0, what is it called?Posted: Wed, 20 Jun 2012 00:19:33 UTC
 S.O.S. Newbie

Joined: Wed, 20 Jun 2012 00:08:30 UTC
Posts: 1
This equation:-4(6y-5)=23-3(8y+1), ends up equaling 0=0 and I don't remember what that is called. For example, how an equation that equals y=y, y can equal any number, and how some equations end up having no answer, because the two sides don't equal each other.

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 Post subject: Re: 0=0, what is it called?Posted: Wed, 20 Jun 2012 00:37:00 UTC
 S.O.S. Oldtimer

Joined: Fri, 27 Jul 2007 10:17:26 UTC
Posts: 278
Location: Chandler, AZ, USA
I don't know if that type of equation has a name, but it would have an infinite number of solutions, as you more or less said.

If it was the result of eliminating a variable while solving a system of equations, that system would be called dependent.

BTW, an equation cannot equal another equation: what you meant to say is that the equation
) becomes the equation when you try to solve for . I know what you meant, but there are some here that have little tolerance for young or inexperienced posters who don't quite get the terminolgy correct. Kind of like the Grammar Police.

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 Post subject: Re: 0=0, what is it called?Posted: Wed, 20 Jun 2012 02:17:55 UTC
 Moderator

Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12103
Location: Austin, TX
What you are referring to is called a "tautology" it is a thing which is self evident.

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