{"status": "success", "data": {"description_md": "Supposed that $x$ and $y$ are nonzero real numbers such that $\\frac{3x+y}{x-3y}=-2$. What is the value of $\\frac{x+3y}{3x-y}$?\n\n$\\textbf{(A)}\\ -3\\qquad\\textbf{(B)}\\ -1\\qquad\\textbf{(C)}\\ 1\\qquad\\textbf{(D)}\\ 2\\qquad\\textbf{(E)}\\ 3$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Supposed that  <span class=\"katex--inline\">x</span>  and  <span class=\"katex--inline\">y</span>  are nonzero real numbers such that  <span class=\"katex--inline\">\\frac{3x+y}{x-3y}=-2</span> . What is the value of  <span class=\"katex--inline\">\\frac{x+3y}{3x-y}</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ -3\\qquad\\textbf{(B)}\\ -1\\qquad\\textbf{(C)}\\ 1\\qquad\\textbf{(D)}\\ 2\\qquad\\textbf{(E)}\\ 3</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2017 AMC 12B Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc12B_p04", "prev": "/problem/17_amc12B_p02"}}