{"status": "success", "data": {"description_md": "How many ordered pairs of real numbers $(x,y)$ satisfy the following system of equations?\n\n$$\\begin{align*}<br>x+3y&=3 \\\\<br>\\big||x|-|y|\\big|&=1<br>\\end{align*}$$\n\n$\\textbf{(A) } 1 \\qquad <br>\\textbf{(B) } 2 \\qquad <br>\\textbf{(C) } 3 \\qquad <br>\\textbf{(D) } 4 \\qquad <br>\\textbf{(E) } 8$\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>How many ordered pairs of real numbers  <span class=\"katex--inline\">(x,y)</span>  satisfy the following system of equations?</p>&#10;<p> <span class=\"katex--display\">\\begin{align*}x+3y&amp;=3 \\\\\\big||x|-|y|\\big|&amp;=1\\end{align*}</span> </p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) } 1 \\qquad \\textbf{(B) } 2 \\qquad \\textbf{(C) } 3 \\qquad \\textbf{(D) } 4 \\qquad \\textbf{(E) } 8</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": "2018 AMC 12A Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc12A_p11", "prev": "/problem/18_amc12A_p09"}}