{"id":"cb_practice_pdf:t4-math-m2-q4","source_id":"cb_practice_pdf","source_item_id":"t4-math-m2-q4","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":null,"form_id":"cb_practice_pdf:test-4","module_number":2,"position":4,"stem":"x+y = 18 5y = x What is the solution (x,y) to the given system of equations?","stimulus":"","stimulus_html":null,"stem_html":"<p>x+y = 18 5y = x What is the solution (x,y) to the given system of equations?</p>","rationale_html":"<p>Choice A is correct. The second equation in the given system defines the value + = of x as 5y. Substituting 5y for x into the first equation yields 5 y y18 or = = 6y 18. Dividing each side of this equation by 6 yields y 3. Substituting 3 for ( )= = ( ) y in the second equation yields 5 3 x or x 15. Therefore, the solution x, y ( ) to the given system of equations is 15, 3 . Choice B is incorrect. Substituting 16 for x and 2 for y in the second equation ( )= ( ) yields 5 2 16, which is not true. Therefore, 16, 2 is not a solution to the given system of equations. Choice C is incorrect. Substituting 17 for x and 1 for y ( )= ( ) in the second equation yields 51 17, which is not true. Therefore, 17, 1 is not a solution to the given system of equations. Choice D is incorrect. Substituting ( )= 18 for x and 0 for y in the second equation yields 5 0 18, which is not true. ( ) Therefore, 18, 0 is not a solution to the given system of equations.</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>(15, 3)</p>","ord":0},{"label":"B","content_html":"<p>(16, 2)</p>","ord":1},{"label":"C","content_html":"<p>(17, 1)</p>","ord":2},{"label":"D","content_html":"<p>(18, 0)</p>","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}}