{"status": "success", "data": {"description_md": "How many ordered pairs of real numbers $(x,y)$ satisfy the following system of equations?\n$$\\begin{align*}\nx+3y&=3 \\\\\n\\big||x|-|y|\\big|&=1\n\\end{align*}$$\n\n$\\textbf{(A) } 1 \\qquad \n\\textbf{(B) } 2 \\qquad \n\\textbf{(C) } 3 \\qquad \n\\textbf{(D) } 4 \\qquad \n\\textbf{(E) } 8$", "description_html": "<p>How many ordered pairs of real numbers  <span class=\"katex--inline\">(x,y)</span>  satisfy the following system of equations?<br/>\n <span class=\"katex--display\">\\begin{align*}\nx+3y&amp;=3 \\\\\n\\big||x|-|y|\\big|&amp;=1\n\\end{align*}</span> </p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 1 \\qquad \n\\textbf{(B) } 2 \\qquad \n\\textbf{(C) } 3 \\qquad \n\\textbf{(D) } 4 \\qquad \n\\textbf{(E) } 8</span> </p>\n<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": 3, "problem_name": "2018 AMC 10A Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc10A_p13", "prev": "/problem/18_amc10A_p11"}}