{"id":18395,"date":"2026-05-03T04:28:21","date_gmt":"2026-05-02T22:28:21","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/solve-a-linear-system-5\/"},"modified":"2026-05-03T04:28:21","modified_gmt":"2026-05-02T22:28:21","slug":"solve-a-linear-system-5","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/solve-a-linear-system-5\/","title":{"rendered":"Solve A Linear System 5"},"content":{"rendered":"<p>Solve the system 3x + 1y = 15 and 2x + 3y = 10.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>x=0, y=5<\/li>\n<li>x=5, y=0<\/li>\n<li>x=6, y=-1<\/li>\n<li>no unique solution<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2705],"subject":[1425],"education_level":[1896],"class_list":["post-18395","mcq","type-mcq","status-publish","hentry","topic-algebra","subject-mathematics","education_level-hsc"],"mcq_note":"Treat this as a pair of simultaneous linear equations. A reliable method is elimination: choose one variable, multiply the equations if needed, and add or subtract so that one variable disappears. Solving the system gives x and y values that satisfy both equations at the same time. Here the solution is x=5, y=0. We should verify it, not just stop after solving: substituting the ordered values into 3x + 1y = 15 and 2x + 3y = 10 makes both equations true. That confirmation shows the selected answer is correct.","mcq_options":[{"right":"no","answer":"x=0, y=5"},{"right":"yes","answer":"x=5, y=0"},{"right":"no","answer":"x=6, y=-1"},{"right":"no","answer":"no unique solution"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2705,"title":"Algebra","slug":"algebra"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/18395","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=18395"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18395"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18395"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18395"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18395"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}