Difference between revisions of "2017 AMC 10B Problems/Problem 4"

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==Problem==
 
==Problem==
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Supposed that <math>x</math> and <math>y</math> are nonzero real numbers such that <math>\frac{3x+y}{x-3y}=-2</math>. What is the value of <math>\frac{x+3y}{3x-y}</math>?
  
[QUESTION]
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<math>\textbf{(A)}\ -3\qquad\textbf{(B)}\ -1\qquad\textbf{(C)}\ 1\qquad\textbf{(D)}\ 2\qquad\textbf{(E)}\ 3</math>
 
 
<math>\textbf{(A)}\ [???]\qquad\textbf{(B)}\ [???]\qquad\textbf{(C)}\ [???]\qquad\textbf{(D)}\ [???]\qquad\textbf{(E)}\ [???]</math>
 
  
 
==Solution==
 
==Solution==

Revision as of 12:41, 16 February 2017

Problem

Supposed that $x$ and $y$ are nonzero real numbers such that $\frac{3x+y}{x-3y}=-2$. What is the value of $\frac{x+3y}{3x-y}$?

$\textbf{(A)}\ -3\qquad\textbf{(B)}\ -1\qquad\textbf{(C)}\ 1\qquad\textbf{(D)}\ 2\qquad\textbf{(E)}\ 3$

Solution

2017 AMC 10B (ProblemsAnswer KeyResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 10 Problems and Solutions

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