{"id":"cb_practice_pdf:t9-math-m2-q9","source_id":"cb_practice_pdf","source_item_id":"t9-math-m2-q9","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-9","module_number":2,"position":9,"stem":"x+7 = 10 x+7 = y ()^2 (x,y) Which ordered pair is a solution to the given system of equations? (3,100)","stimulus":"","stimulus_html":null,"stem_html":"<p>x+7 = 10 x+7 = y ()^2 (x,y) Which ordered pair is a solution to the given system of equations? (3,100)</p>","rationale_html":"<p>Choice A is correct. The solution to a system of equations is the ordered pair ^x,yh that satisfies all equations in the system. It’s given by the first equation in +7=10 10 + the system that x . Substituting for x 7 into the second equation 102= =100 yields y, or y . The x-coordinate of the solution to the system of equations can be found by subtracting 7 from both sides of the equation +7=10 = 3,100 x , which yields x 3. Therefore, the ordered pair ^ h is a solution to the given system of equations. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["A"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>(3,3)</p>","ord":0},{"label":"B","content_html":"<p>(3,10)</p>","ord":1},{"label":"C","content_html":"<p>(3,70)</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}}