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an identity?

maybe a tautology?

Comment by mgately:

In the field of discrete mathematics (simplified the study of logic) any expression which always evaluates to true is in fact called a tautology. While less cool sounding, an expression which always evaluates to false is just called a contradiction.

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Q: What is it called when there is an equation that is always true?

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In math, an equation that is always true is called an identity.

It's callled the "solution" of the equation.

legal equation * * * * * In mathematics, it is called an identity.

No, it's the other way round - an equation that's true for every value of the variable(s) is called an identity. Of course, an identity is also an equation.

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In math, an equation that is always true is called an identity.

Seems to me like if it's not always true, then it's no equation.

An equation that is always true is an identity.

Identity equation

No, it's not

They are called the "solutions" of the equation.

Such an equation is called an IDENTITY.

It is true for all permissible values of any variables in the equation. More simply put, it is always true.

It's called the "solution" of the equation.

That is called a solution.

not always but most of the time yes

It's callled the "solution" of the equation.

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