{"id":"cb_question_bank:e6786e0f-4547-430c-acad-1a8fe2cab840","source_id":"cb_question_bank","source_item_id":"e6786e0f-4547-430c-acad-1a8fe2cab840","external_id":null,"ibn":"025580-DC","question_id":"b544a348","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.D.","skill":"Systems of two linear equations in two variables","difficulty":"M","score_band":5,"answer_type":"spr","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"In the solution x comma y to the system of equations above, what is the value of x ?","stimulus":"Equation 1: 5 x plus 3 y, equals 38; Equation 2: x plus 3 y, equals 10","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/e50d1ca0a7d478d9e3992d36e102636d26d464be3993765b183397915d8fb4fe\" alt=\"Equation 1: 5 x plus 3 y, equals 38; Equation 2: x plus 3 y, equals 10\n\"></span></span>\n        </p>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">In the solution <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a7d2bcc56593987bc854602a3fbb93e98d26378b18d3630ef3023e965e78de1f\" alt=\"x comma y\"></span></span> to the system of equations above, what is the value of <span class=\"italic\">x</span> ?</p>\n","rationale_html":"<p>The correct answer is 7. Subtracting the second equation from the first equation eliminates the variable <span class=\"italic\">y</span>.</p><p>\n        <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d22f753c46134cf0ff1bc955fb68ee251a97cb36d2544ead3fc30539deb1c709\" alt=\"Equation 1, 5 x, plus 3 y, equals 38; Equation 2,  x plus 3 y, equals 10; Subtracting equation 2 from equation 1 yields equation 3, which is 4 x, equals 28.\"></span></p><p>Dividing both sides of the resulting equation by 4 yields <span class=\"italic\">x</span> = 7.</p><p></p>\n","correct_answer":["7"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.619000+00:00","source_updated_at":"2023-08-02T20:25:59.619000+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}}