12 + = x 5 14 = + y 4x^2 4 At what point x,y do the graphs of the equations in ^ h the given system intersect?
Correct answer: B (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice B is correct. The point ^x,yh at which the graphs of the given equations intersect is the solution to the system of equations. Subtracting 5 from both sides +5=14 = of the equation x yields x 9. Substituting 9 for x in the equation =4 2+4 =4 9 2+4 =328 y x yields y ^ h , or y . Therefore, the graphs of the 9,328 equations in the given system intersect at the point ^ h. 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.
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