{"id":"cb_practice_pdf:t10-math-m1-q20","source_id":"cb_practice_pdf","source_item_id":"t10-math-m1-q20","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-10","module_number":1,"position":20,"stem":"y = 4x+1 4y = 15x−8 The solution to the given system of equations is (x,y). What is the value of x−y?","stimulus":"","stimulus_html":null,"stem_html":"<p>y = 4x+1 4y = 15x−8 The solution to the given system of equations is (x,y). What is the value of x−y?</p>","rationale_html":"<p>35 The correct answer is . The first equation in the given system of equations 4 +1 4 +1 defines y as x . Substituting x for y in the second equation in the given 4 4 +1 =15 -8 system of equations yields ^ x h x . Applying the distributive property 16 +4=15 -8 15 on the left-hand side of this equation yields x x . Subtracting x +4=-8 from each side of this equation yields x . Subtracting 4 from each side of =-12 -12 this equation yields x . Substituting for x in the first equation of the =4 -12 +1 =-47 -12 given system of equations yields y ^ h , or y . Substituting -47 - -12- -47 35 for x and for y into the expression x y yields ^ h, or .</p>","correct_answer":["35"],"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}}