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

$x+y=18$

$5y=x$

What is the solution $(x,y)$ to the given system of equations?

","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-45"}],"about":{"@type":"Thing","name":"Math, Algebra, Duplicate"},"educationalLevel":"intermediate","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","assesses":["Math","Algebra","Duplicate"],"name":"

$x+y=18$

$5y=x$

What is the solution $(x,y)$ to the given system of equations?

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

Choice A is correct. The second equation in the given system defines the value of $x$ as $5y$. Substituting $5y$ for $x$ into the first equation yields $5y+y=18$ or $6y=18$. Dividing each side of this equation by $6$ yields $y=3$. Substituting $3$ for $y$ in the second equation yields $5(3)=x$ or $x=15$. Therefore, the solution $(x,y)$ to the given system of equations is $(15,3)$.

Choice B is incorrect. Substituting $16$ for $x$ and $2$ for $y$ in the second equation yields $5(2)=16$, which is not true. Therefore, $(16,2)$ is not a solution to the given system of equations.

Choice C is incorrect. Substituting $17$ for $x$ and $1$ for $y$ in the second equation yields $5(1)=17$, which is not true. Therefore, $(17,1)$ is not a solution to the given system of equations.

Choice D is incorrect. Substituting $18$ for $x$ and $0$ for $y$ in the second equation yields $5(0)=18$, which is not true. Therefore, $(18,0)$ is not a solution to the given system of equations.

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

$x+y=18$

$5y=x$

What is the solution $(x,y)$ to the given system of equations?

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

$(16,2)$

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

\$(17,1)\$

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

$(18,0)$

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

$(15,3)$

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

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

"}}},"url":"https://classnotes.xyz/mcqs/sat-math-algebra-multiple-choice-question-45"}

$x+y=18$$5y=x$What is the solution $(x,y)$ to the given system of equations?

$x+y=18$$5y=x$What is the solution $(x,y)$ to the given system of equations?

$x+y=18$$5y=x$What is the solution $(x,y)$ to the given system of equations?

$x+y=18$

$5y=x$

What is the solution $(x,y)$ to the given system of equations?

$x+y=18$

$5y=x$

What is the solution $(x,y)$ to the given system of equations?

$x+y=18$

$5y=x$

What is the solution $(x,y)$ to the given system of equations?