{"id":"cb_practice_pdf:t7-math-m1-q12","source_id":"cb_practice_pdf","source_item_id":"t7-math-m1-q12","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":1,"position":12,"stem":"y = 6x+3 One of the two equations in a system of linear equations is given. The system has infinitely many solutions. Which equation could be the second equation in this system? y = 2(6x) +3","stimulus":"","stimulus_html":null,"stem_html":"<p>y = 6x+3 One of the two equations in a system of linear equations is given. The system has infinitely many solutions. Which equation could be the second equation in this system? y = 2(6x) +3</p>","rationale_html":"<p>Choice D is correct. It’s given that the system has infinitely many solutions. A system of two linear equations has infinitely many solutions when the two linear equations are equivalent. When one equation is a multiple of another equation, the two equations are equivalent. Multiplying each side of the given equation by 2 2 =2 6 +3 2 =2 6 +3 yields ^yh ^ x h. Thus, ^yh ^ x h is equivalent to the given equation and could be the second equation in the system. Choice A is incorrect. The system consisting of this equation and the given equation has one solution rather than infinitely many solutions. Choice B is incorrect. The system consisting of this equation and the given equation has one solution rather than infinitely many solutions. Choice C is incorrect. The system consisting of this equation and the given equation has no solutions rather than infinitely many solutions.</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>= 2(6x+3)</p>","ord":0},{"label":"B","content_html":"<p>y 2(y) = 2(6x) +3</p>","ord":1},{"label":"C","content_html":"<p>2(y) = 2(6x+3)</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}}