{"id":"cb_practice_pdf:t5-math-m2-q20","source_id":"cb_practice_pdf","source_item_id":"t5-math-m2-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-5","module_number":2,"position":20,"stem":"5y = 10x+11 −5y = 5x−21 The solution to the given system of equations is x,y. What is the value of 30x?","stimulus":"","stimulus_html":null,"stem_html":"<p>5y = 10x+11 −5y = 5x−21 The solution to the given system of equations is x,y. What is the value of 30x?</p>","rationale_html":"<p>20 The correct answer is . Adding the first equation to the second equation in the 5 -5 =10 +51+1 -21 0=15 -10 10 given system yields y y x x , or x . Adding to 10=15 both sides of this equation yields x. Multiplying both sides of this equation 20=30 30 20 by 2 yields x. Therefore, the value of x is .</p>","correct_answer":["20"],"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}}