{"status": "success", "data": {"description_md": "Positive integers $a$ and $b$ are such that the graphs of $y=ax+5$ and $y=3x+b$ intersect the $x$-axis at the same point. What is the sum of all possible $x$-coordinates of these points of intersection?\n\n$\\textbf{(A)}\\ {-20}\\qquad\\textbf{(B)}\\ {-18}\\qquad\\textbf{(C)}\\ {-15}\\qquad\\textbf{(D)}\\ {-12}\\qquad\\textbf{(E)}\\ {-8}$", "description_html": "<p>Positive integers  <span class=\"katex--inline\">a</span>  and  <span class=\"katex--inline\">b</span>  are such that the graphs of  <span class=\"katex--inline\">y=ax+5</span>  and  <span class=\"katex--inline\">y=3x+b</span>  intersect the  <span class=\"katex--inline\">x</span> -axis at the same point. What is the sum of all possible  <span class=\"katex--inline\">x</span> -coordinates of these points of intersection?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ {-20}\\qquad\\textbf{(B)}\\ {-18}\\qquad\\textbf{(C)}\\ {-15}\\qquad\\textbf{(D)}\\ {-12}\\qquad\\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": 4, "problem_name": "2014 AMC 10A Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc10A_p22", "prev": "/problem/14_amc10A_p20"}}