It is true for all permissible values of any variables in the equation. More simply put, it is always true.
Identity equation
A solution to an equation is a set of values for the variables in the equation which make it true.
An equation that is always true is an identity.
If this value a satisfy the equation, then a is a solution for that equation. ( or we can say that for the value a the equation is true)
Such an equation is called an IDENTITY.
Any number that makes an equation true is a 'solution of an equation'. it is a solution
The solution set is the answers that make an equation true. So I would call it the solution.
Identity equation
The equation or a system of equations having infinite solutions is called identity/identities. (a+b)^2=a^2+2ab+b^2 is an identity. It has infinite solutions. The equation is true for all values of a and b.
A solution to an equation is a set of values for the variables in the equation which make it true.
An equation that is always true is an identity.
In math, an equation that is always true is called an identity.
That's the "solution" of the equation.
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.
If this value a satisfy the equation, then a is a solution for that equation. ( or we can say that for the value a the equation is true)
Such an equation is called an IDENTITY.
A number that makes an equation true is its solution.