{"status": "success", "data": {"description_md": "Find the value(s) of $x$ such that $8xy - 12y + 2x - 3 = 0$ is true for all values of $y$.\n\n$\\textbf{(A) } \\frac23 \\qquad \\textbf{(B) } \\frac32 \\text{ or } -\\frac14 \\qquad \\textbf{(C) } -\\frac23 \\text{ or } -\\frac14 \\qquad \\textbf{(D) } \\frac32 \\qquad \\textbf{(E) } -\\frac32 \\text{ or } -\\frac14$", "description_html": "<p>Find the value(s) of  <span class=\"katex--inline\">x</span>  such that  <span class=\"katex--inline\">8xy - 12y + 2x - 3 = 0</span>  is true for all values of  <span class=\"katex--inline\">y</span> .</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } \\frac23 \\qquad \\textbf{(B) } \\frac32 \\text{ or } -\\frac14 \\qquad \\textbf{(C) } -\\frac23 \\text{ or } -\\frac14 \\qquad \\textbf{(D) } \\frac32 \\qquad \\textbf{(E) } -\\frac32 \\text{ or } -\\frac14</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": "2002 AMC 10B Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc10B_p14", "prev": "/problem/02_amc10B_p12"}}