{"id":21291,"date":"2026-05-25T22:28:07","date_gmt":"2026-05-25T16:28:07","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/solve-a-pair-of-simultaneous-linear-equations-8\/"},"modified":"2026-05-25T22:28:07","modified_gmt":"2026-05-25T16:28:07","slug":"solve-a-pair-of-simultaneous-linear-equations-8","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/solve-a-pair-of-simultaneous-linear-equations-8\/","title":{"rendered":"Solve a pair of simultaneous linear equations"},"content":{"rendered":"<p>Solve the system: 3x + 1y = 18 and 1x &#8211; 2y = 6.<\/p>\n<ul class=\"quiz-options\">\n<li>x = 0, y = 6<\/li>\n<li>x = 18, y = 6<\/li>\n<li>x = 7, y = -1<\/li>\n<li>x = 6, y = 0<\/li>\n<li>x = -6, y = 0<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2889,2707],"subject":[2750],"education_level":[1894],"class_list":["post-21291","mcq","type-mcq","status-publish","hentry","topic-advanced-algebra","topic-simultaneous-equations","subject-advanced-mathematics","education_level-grade-8"],"mcq_note":"Use elimination or substitution. The pair x = 6, y = 0 satisfies both equations: substituting gives 18 in the first equation and 6 in the second. A solution of simultaneous equations is one ordered pair that makes both equations true at the same time. Substitution is a reliable check because it tests the chosen x and y values directly in each equation. If even one equation does not balance, the pair is not the solution. The correct answer is x = 6, y = 0, which matches the calculation or reasoning shown.","mcq_options":[{"right":"no","answer":"x = 0, y = 6"},{"right":"no","answer":"x = 18, y = 6"},{"right":"no","answer":"x = 7, y = -1"},{"right":"yes","answer":"x = 6, y = 0"},{"right":"no","answer":"x = -6, y = 0"}],"multi_answers":"no","subject_terms":[{"id":2750,"title":"Advanced Mathematics","slug":"advanced-mathematics"}],"topic_terms":[{"id":2889,"title":"Advanced Algebra","slug":"advanced-algebra"},{"id":2707,"title":"Simultaneous Equations","slug":"simultaneous-equations"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/21291","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=21291"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=21291"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=21291"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=21291"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=21291"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}