How do you know whether an equation is an identity? How many solutions does an identity have? Explain.
Choose the correct answer below.
A.
An equation is an identity if it can be rewritten as an equation of the form "variable=number," such as x=5 or y=3. Such an equation has an infinite number of solutions because a variable can be any number.
B.
An equation is an identity if it can be rewritten as 0=0. Such an equation has an infinite number of solutions because it reduces to a true statement regardless of the value of the variable.
C.
An equation is an identity if it can be rewritten as an equation of the form "variable=number," such as x=5 or y=3. Such an equation has only one solution, and the solution is called the identity of the variable.

An equation is an identity if it can be rewritten as 0=0. Such an equation has an infinite number of solutions because it reduces to a true statement regardless of the value of the variable.

An equation is a mathematical statement which is true only for some set of values.

An identify is a mathematical statement which is true only for all the values.

Here, only option B "An equation is an identity if it can be rewritten as 0=0. Such an equation has an infinite number of solutions because it reduces to a true statement regardless of the value of the variable." satisfies the condition.

So, option B is correct.

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