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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legal equation * * * * * In mathematics, it is called an identity.
A function is an equation (a relation) which has only one y-value for every x-value. If a single x-value has more than one y-value, the equation is no longer called a function.
An identity is an equation that is always true, for any value of the variable or variables. Here are some examples: x + x = 2x a + b = b + a x1 = x
how about X = X
Strictly speaking the above equation is a tautological equation or an IDENTITY. An identity is true for all values of any variables that appear in it. Thus, the above "equation" is true for all value of x. - that is, it has infinitely many solutions.