y ' 6 ~ ~ i \ 2 r,..... ' 1 I" \ u X 6-5-4-3,.._1 3 4 5 6 ~ ·1 1 ' \ r-.. ' 13 ' \ 14 ~ 15 ~!6 ~ ~ The graph of a system of linear equations is shown. (x,y) What is the solution to the system?
Correct answer: A (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice A is correct. The solution to this system of linear equations is represented by the point that lies on both lines shown, or the point of intersection of the two = lines. According to the graph, the point of intersection occurs when x 4 and =- 4,-5 y 5, or at the point ^ h. Therefore, the solution ^x,yh to the system is 4,-5 ^ h. 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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