Question 49-x-9

1.2 Linear Equations in One Variable - Single-variable equations (multi-step)
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- 49 x = - 98 x

How many solutions does the given equation have?

A.

Zero

B.

Exactly one

C.

Exactly two

D.

Infinitely many

- 49 x = - 98 x How many solutions does the given equation have?

Hard-difficulty · SAT Math · Linear Equations in One Variable — Single-variable equations (multi-step). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice B is correct. Adding 98 x to each side of the given equation yields 49 x = 0 . Dividing each side of this equation by 49 yields x = 0 . This means that 0 is the only solution to the given equation. Therefore, the given equation has exactly one solution.

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

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

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