{"id":"cb_practice_pdf:t7-math-m2-q18","source_id":"cb_practice_pdf","source_item_id":"t7-math-m2-q18","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":"Part of this question was typeset outside the text flow — a fraction, subscript or similar — and PDF extraction re-inserted it in the wrong place. The wording is reliable; the symbols may be out of order.","form_id":"cb_practice_pdf:test-7","module_number":2,"position":18,"stem":"3y = 4x+17 −3y = 9x−23 The solution to the given system of equations is (x,y) 39x. What is the value of? −18","stimulus":"","stimulus_html":null,"stem_html":"<p>3y = 4x+17 −3y = 9x−23 The solution to the given system of equations is (x,y) 39x. What is the value of? −18</p>","rationale_html":"<p>Choice D is correct. Adding the second equation to the first equation in the given 3 -3 =4 +9 +17-23 0=13 -6 system of equations yields y y x x , or x . Adding 6 6=13 to each side of this equation yields x. Multiplying each side of this equation 18=39 39 18 by 3 yields x. Therefore, the value of x is . -39 39 Choice A is incorrect. This is the value of x, not x. Choice B is incorrect. -13 39 13 This is the value of x, not x. Choice C is incorrect. This is the value of x, 39 not x.</p>","correct_answer":["D"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>−6</p>","ord":0},{"label":"B","content_html":"<p>6</p>","ord":1},{"label":"C","content_html":"<p>18</p>","ord":2},{"label":"D","content_html":"","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}