How do you know whether an equation is an identity? How many solutions does an identity have? Explain. Choose the correct answ

Question

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How do you know whether an equation is an identity? How many solutions does an identity have? Explain. Choose the correct answ

er below.
A. An equation is an identity if it can be rewritten as 0=0. Such an equation has only one solution, 0, and that is the identity of the variable.

B. An equation is an identity if it can be rewritten as an equation of the form "variablenumber," such as x5 or y3. Such an equation has only one solution, and the solution is called the identity of the variable.

C. An equation is an identity if it can be rewritten as an equation of the form "variablenumber," such as x5 or y3. Such an equation has an infinite number of solutions because a variable can be any number.

D. 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.

Mathematics

2 answers:

Ad libitum [116K] · Answer 1 · 2023-02-14T03:06:14+03:00

Answer:

the correct answer is B

Step-by-step explanation:

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.