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Linear equations in one variable SAT question
Math · Algebra · Hard · Answer it here, explanation included.
How many solutions does the equation have?
ExplanationShow
Choice C is correct. Applying the distributive property to each side of the given equation yields . Applying the commutative property of addition to the right-hand side of this equation yields . Since the two sides of the equation are equivalent, this equation is true for any value of . 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.
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