{"@context":"https://schema.org/","@type":"Quiz","name":"

The graph of a system of linear equations is shown. What is the solution $(x,y)$ to the system?

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","hasPart":{"@type":"Question","typicalAgeRange":"12-22","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"SAT"},{"@type":"AlignmentObject","alignmentType":"educationalLevel","targetName":"SAT","educationalFramework":"Common Core","targetUrl":"https://classnotes.xyz/mcqs/sat-math-algebra-multiple-choice-question-242"}],"about":{"@type":"Thing","name":"Math, Algebra, Duplicate"},"educationalLevel":"intermediate","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","assesses":["Math","Algebra","Duplicate"],"name":"

The graph of a system of linear equations is shown. What is the solution $(x,y)$ to the system?

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","comment":{"@type":"Comment","text":"

Choice C 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 $\\bm{x}=2$ and $\\bm{y}=3$, or at the point $(2,3)$. Therefore, the solution $(\\bm{x},\\bm{y})$ to the system is $(2,3)$.

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.

"},"encodingFormat":"text/markdown","text":"

The graph of a system of linear equations is shown. What is the solution $(x,y)$ to the system?

$\"\"$

","suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/html","text":"

$(0,3)$

"},{"@type":"Answer","position":1,"encodingFormat":"text/html","text":"

$(1,3)$

"},{"@type":"Answer","position":3,"encodingFormat":"text/html","text":"

$(3,3)$

"}],"acceptedAnswer":{"@type":"Answer","position":2,"encodingFormat":"text/html","text":"

\$(2,3)\$

","comment":{"@type":"Comment","text":"

"},"answerExplanation":{"@type":"Comment","text":"

"}}},"url":"https://classnotes.xyz/mcqs/sat-math-algebra-multiple-choice-question-242"}