{"id":"cb_question_bank:d453e017-a716-4508-80f4-66ad694ed096","source_id":"cb_question_bank","source_item_id":"d453e017-a716-4508-80f4-66ad694ed096","external_id":null,"ibn":"026980-DC","question_id":"0d1dca87","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.D.","skill":"Systems of two linear equations in two variables","difficulty":"E","score_band":2,"answer_type":"spr","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"If the ordered pair x comma y is the solution to the given system of equations, what is the value of y ?","stimulus":"Equation 1: 3 x plus y, equals 29. Equation 2: x equals 2","stimulus_html":"<div class=\"stimulus_reference \">\n        <p class=\"standalone_statement style:1 \">\n          <span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9d7eb032a2a631bf2805c5d84f0365b328fc34f8c4dcc169deb42883874528e7\" alt=\"Equation 1: 3 x plus y, equals 29. Equation 2: x equals 2\"></span></span>\n        </p>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">If <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/338db7e3a31d3afebe84d6ca556e60cbe33b3baf49002acc912917c4ff25d31e\" alt=\"the ordered pair x comma y \"></span></span> is the solution to the given system of equations, what is the value of <span class=\"italic\">y</span> ?</p>\n","rationale_html":"<p>The correct answer is 23. Since it’s given that <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/401169281090f4f1d9aafeeb928524e672d737cdce814b4e9256c5e06a42d325\" alt=\"x equals 2\"></span>, the value of <span class=\"italic\">y</span> can be found by substituting 2 for <span class=\"italic\">x</span> in the first equation and solving for <span class=\"italic\">y</span>. Substituting 2 for <span class=\"italic\">x</span> yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/3cd44455a52f45777da2f611e5fd80bf04450658bfa0c39b0a2bcf87db5f53ed\" alt=\"3 times 2, plus y, equals 29\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/77b094ca8aed201fa5feed811cec57dd43859d00501997f918dad89b2696a7b0\" alt=\"6 plus y, equals 29\"></span>. Subtracting 6 from both sides of this equation yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0e45e688402d8ab322f25d05d75869adf0d1066006c69fb288a118243c88f484\" alt=\"y equals 23\"></span>.</p>\n","correct_answer":["23"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.621000+00:00","source_updated_at":"2023-08-02T20:25:59.621000+00:00","options":[],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}