{"id":18417,"date":"2026-05-03T04:31:01","date_gmt":"2026-05-02T22:31:01","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/ordered-pair-system-from-sum-product-7\/"},"modified":"2026-05-03T04:31:01","modified_gmt":"2026-05-02T22:31:01","slug":"ordered-pair-system-from-sum-product-7","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/ordered-pair-system-from-sum-product-7\/","title":{"rendered":"Ordered Pair System From Sum Product 7"},"content":{"rendered":"<p>Find all ordered pairs (x, y) satisfying x + y = 7 and xy = 10.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>(10, 7)<\/li>\n<li>(5, 2)<\/li>\n<li>(7, 10)<\/li>\n<li>(6, 1)<\/li>\n<li>(2, 5)<\/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-18417","mcq","type-mcq","status-publish","hentry","topic-algebra","subject-mathematics","education_level-hsc"],"mcq_note":"Here x and y are two numbers whose sum is 7 and product is 10. A useful HSC-level trick is to think of them as roots of the quadratic equation t\u00b2 - (7)t + (10) = 0. After factoring or solving that quadratic, we get the two possible numbers. Since the question asks for ordered pairs, the order matters: if the two numbers are different, both (first, second) and (second, first) are valid. Checking the selected pair(s), each one has sum 7 and product 10. Therefore the correct answer choices are (5, 2), (2, 5).","mcq_options":[{"right":"no","answer":"(10, 7)"},{"right":"yes","answer":"(5, 2)"},{"right":"no","answer":"(7, 10)"},{"right":"no","answer":"(6, 1)"},{"right":"yes","answer":"(2, 5)"}],"multi_answers":"yes","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\/18417","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=18417"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18417"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18417"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18417"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18417"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}