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Linear functions SAT question

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

If and , what is the value of ?

ExplanationShow

Choice C is correct. The value of can be found by substituting for in the given equation , which yields , or . The value of can be found by substituting for in the given equation , which yields , or . The value of the expression  can be found by substituting the corresponding values into the expression, which gives . This expression is equivalent to , or .

Choice A is incorrect. This is the value of , not .

Choice B is incorrect and may result from calculating  as , rather than
.

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

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