{"status": "success", "data": {"description_md": "How many ordered pairs of real numbers $(x,y)$ satisfy the following system of equations?\n$$\n\\begin{aligned}\nx+3y&=3\\\\\n\\left||x|-|y|\\right|&=1\n\\end{aligned}\n$$\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/>&#10;<span class=\"katex--display\">&#10;\\begin{aligned}&#10;x+3y&amp;=3\\\\&#10;\\left||x|-|y|\\right|&amp;=1&#10;\\end{aligned}&#10;</span></p>&#10;<p><span class=\"katex--inline\">\\textbf{(A) } 1 \\qquad &#10;\\textbf{(B) } 2 \\qquad &#10;\\textbf{(C) } 3 \\qquad &#10;\\textbf{(D) } 4 \\qquad &#10;\\textbf{(E) } 8</span></p>&#10;", "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"}}