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

Which of the following systems of equations has the same solution as the system of equations graphed below?

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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-259"}],"about":{"@type":"Thing","name":"Math, Algebra, Duplicate"},"educationalLevel":"intermediate","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","assesses":["Math","Algebra","Duplicate"],"name":"

Which of the following systems of equations has the same solution as the system of equations graphed below?

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

Choice A is correct. The solution to a system of equations is the coordinates of the intersection point of the graphs of the equations in the $xy$-plane. Based on the graph, the solution to the given system of equations is best approximated as $(\\frac{3}{2},0)$. In the $xy$-plane, the graph of $\\bm{y=0}$ is a horizontal line on which every $y$-coordinate is 0, and the graph of $\\bm{x=\\frac{3}{2}}$ is a vertical line on which every $x$-coordinate is $\\frac{3}{2}$. These graphs intersect at the point $(\\frac{3}{2},0)$. Therefore, the system of equations in choice A has the same solution as the given system.

Choices B, C, and D are incorrect. If graphed in the xy-plane, these choices would intersect at the points $(0,\\frac{3}{2})$, $(1,0)$, and $(0,1)$, respectively, not $(\\frac{3}{2},0)$.

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

Which of the following systems of equations has the same solution as the system of equations graphed below?

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

$y=\\dfrac{3}{2}$

$x=0$

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

$y=0$

$x=1$

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

$y=1$

$x=0$

"}],"acceptedAnswer":{"@type":"Answer","position":0,"encodingFormat":"text/html","text":"

$y=0$

$x=\\dfrac{3}{2}$

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

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

"}}},"url":"https://classnotes.xyz/mcqs/sat-math-algebra-multiple-choice-question-259"}