Question how-ma

1.2 Linear Equations in One Variable - Variables on both sides
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How many solutions does the equation 1015x-9=-156-10x have?

A.

Exactly two

B.

Infinitely many

C.

Zero

D.

Exactly one

How many solutions does the equation 10 15 x - 9 = - 15 6 -

Hard-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. Applying the distributive property to each side of the given equation yields 150x-90=-90+150x. Applying the commutative property of addition to the right-hand side of this equation yields 150x-90=150x-90. Since the two sides of the equation are equivalent, this equation is true for any value of x . Therefore, 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.