{"id":"cb_practice_pdf:t7-math-m1-q14","source_id":"cb_practice_pdf","source_item_id":"t7-math-m1-q14","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":"spr","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-7","module_number":1,"position":14,"stem":"= 9 +12 y x +7 = 20 x y The solution to the given system of equations is (x,y). What is the value of y?","stimulus":"","stimulus_html":null,"stem_html":"<p>= 9 +12 y x +7 = 20 x y The solution to the given system of equations is (x,y). What is the value of y?</p>","rationale_html":"<p>=9 +12 9 +12 The correct answer is 3. It’s given that y x . Substituting x for y in +7 =20 +7 9 +12 =20 the second equation in the system, x y , yields x ^ x h , which +63 +84=20 64 +84=20 84 gives x x , or x . Subtracting from each side of this 64 =-64 64 equation yields x . Dividing each side of this equation by yields =- - =9 +12 x 1. Substituting 1 for x in the first equation in the system, y x , =9 -1 +12 = yields y ^ h , or y 3. Therefore, the value of y is 3.</p>","correct_answer":["3"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[],"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}}