Question

How do you know whether an ecuation is an identity? How many solutions does an identity have? Explain

Choose the correct answer below

O, A. An equation is an identity w it can be rewitten as an equation of the form"variable = ruumiker, such as x=5 or y=3. Such an equation has an infinite

number of solutions because a variable can be any number

OB. An equation is an idersity 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

OC. An equation is an identity #it can be rewritten as 0-0. Such an equation has only one solution, 0, and that is the identity of the variable

OD. 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

Answer 1

Answer: 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.

Explanation:

For an identity equation ; The value on the right and left hand side of the equation are equal :

Left hand side = Right hand side

The solution to an identity solution is infinite because the equation holds true for every value substituted for the variable.

Hence, for every value substituted in for the variable in the equation, the equation is a true statement.