Question 66-x-6

1.2 Linear Equations in One Variable - Variables on both sides
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66x=66x

How many solutions does the given equation have?

A.

Exactly one

B.

Exactly two

C.

Infinitely many

D.

Zero

66 x = 66 x How many solutions does the given equation have?

Medium-difficulty · SAT Math · Linear Equations in One Variable — Variables on both sides. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice C is correct. If the two sides of a linear equation are equivalent, then the equation is true for any value. If an equation is true for any value, it has infinitely many solutions. Since the two sides of the given linear equation 66x=66x are equivalent, the given equation has infinitely many solutions.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.