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Linear equations in two variables SAT question

Math · Algebra · Medium · Answer it here, explanation included.

The given equation describes the relationship between the number of birds, , and the number of reptiles, , that can be cared for at a pet care business on a given day. If the business cares for reptiles on a given day, how many birds can it care for on this day?

ExplanationShow

Choice A is correct. The number of birds can be found by calculating the value of when in the given equation. Substituting for in the given equation yields , or . Subtracting from both sides of this equation yields . Dividing both sides of this equation by yields . Therefore, if the business cares for reptiles on a given day, it can care for birds on this day.

Choice B 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.

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