{"id":524,"date":"2024-12-01T22:00:25","date_gmt":"2024-12-01T19:00:25","guid":{"rendered":"https:\/\/currconv.ru\/blog\/15892-2\/"},"modified":"2025-05-02T17:55:28","modified_gmt":"2025-05-02T14:55:28","slug":"15892","status":"publish","type":"post","link":"https:\/\/currconv.ru\/blog\/15892\/","title":{"rendered":"\u041f\u0440\u0438\u043c\u0435\u0440 \u211671 \u0438\u0437 \u0437\u0430\u0434\u0430\u043d\u0438\u044f 20"},"content":{"rendered":"<div class=\"fpm_start\"><\/div>\n<p>\u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439<\/p>\n<div id=\"math16\"><\/div>\n<p><script>\nkatex.render(String.raw`\n\\displaystyle\n\\begin{cases}\n(x - 4)(y - 4) = 0 \\\\\n\\frac{y - 2}{x + y - 6} = 2\n\\end{cases}\n`, document.getElementById(\"math16\"), {\n  displayMode: true\n});\n<\/script><\/p>\n<p><span id=\"more-15892\"><\/span><\/p>\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\"><strong>\u0420\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/h2>\n<p>\u041e\u0414\u0417:<\/p>\n<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x+y-6 \\neq 0;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x+y \\neq 6.<\/span><\/p>\n<p>\u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043f\u0435\u0440\u0432\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435:<\/p>\n<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">(x-4)(y-4)=0;<\/span><\/p>\n<p>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\u044e, \u0435\u0441\u043b\u0438 \u043e\u0434\u0438\u043d \u0438\u0437 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u0435\u0439 \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e:<\/p>\n<\/p>\n<p><script data-noptimize=\"\" data-wpfc-render=\"false\">\nfpm_start( \"true\" );\n<\/script><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x-4=0;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x=4,<\/span><\/p>\n<p>\u0418\u043b\u0438<\/p>\n<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">y-4=0;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">y=4,<\/span><\/p>\n<p>1) \u041f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 <span class=\"katex-eq\" data-katex-display=\"false\"> x <\/span> \u0432\u043e \u0432\u0442\u043e\u0440\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435:<\/p>\n<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\"> \\displaystyle \\frac{y-2}{x+y-6}=2; <\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\"> \\displaystyle \\frac{y-2}{4+y-6}=2;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">2 \\cdot (y-2)=y-2;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">2y-4=y-2;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">y=2.<\/span><\/p>\n<p>\u041f\u0440\u043e\u0432\u0435\u0440\u0438\u043c \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442 \u043b\u0438 \u041e\u0414\u0417:<\/p>\n<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x+y \\neq 6; <\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">4+2 = 6. <\/span> &#8211; \u043d\u0435 \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442 \u041e\u0414\u0417.<\/p>\n<\/p>\n<p>2) \u041f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 <span class=\"katex-eq\" data-katex-display=\"false\"> y <\/span> \u0432\u043e \u0432\u0442\u043e\u0440\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435:<\/p>\n<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\"> \\displaystyle \\frac{y-2}{x+y-6}=2; <\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\"> \\displaystyle \\frac{4-2}{x+4-6}=2;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">2 \\cdot (x-2)=2;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">2x-4=2;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">2x=6;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x=3.<\/span><\/p>\n<p>\u041f\u0440\u043e\u0432\u0435\u0440\u0438\u043c \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442 \u043b\u0438 \u041e\u0414\u0417:<\/p>\n<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x+y \\neq 6; <\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">4+3 \\neq 6. <\/span> &#8211; \u041e\u0414\u0417 \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442.<\/p>\n<\/p>\n<p>\u041f\u043e\u043b\u0443\u0447\u0438\u043b\u0438\u0441\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043a\u043e\u0440\u043d\u0438 <span class=\"katex-eq\" data-katex-display=\"false\">(3;4).<\/span><\/p>\n<p><strong>\u041e\u0442\u0432\u0435\u0442:<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">(3;4).<\/span><\/p>\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n<p><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong>\u0418\u0441\u0442\u043e\u0447\u043d\u0438\u043a:<\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong> \u041e\u0413\u042d 2025. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430. 50 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432. \u0422\u0438\u043f\u043e\u0432\u044b\u0435 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u044b \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430\u0446\u0438\u043e\u043d\u043d\u044b\u0445 \u0437\u0430\u0434\u0430\u043d\u0438\u0439 \u043e\u0442 \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u0447\u0438\u043a\u043e\u0432 \u041e\u0413\u042d. \u042f\u0449\u0435\u043d\u043a\u043e \u0418. \u0412. (\u0432\u0430\u0440\u0438\u0430\u043d\u0442 41) <\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u0438\u0441\u0442\u0435\u043c\u0443 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u041e\u0414\u0417: x+y-6 \\neq 0; x+y \\neq 6. \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043f\u0435\u0440\u0432\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435: (x-4)(y-4)=0; \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\u044e, \u0435\u0441\u043b\u0438 \u043e\u0434\u0438\u043d \u0438\u0437 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u0435\u0439 \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u0435\u043d \u043d\u0443\u043b\u044e: x-4=0; x=4, \u0418\u043b\u0438 y-4=0; y=4, 1) \u041f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 x \u0432\u043e \u0432\u0442\u043e\u0440\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435: \\displaystyle \\frac{y-2}{x+y-6}=2; \\displaystyle \\frac{y-2}{4+y-6}=2; 2 \\cdot (y-2)=y-2; 2y-4=y-2; y=2. \u041f\u0440\u043e\u0432\u0435\u0440\u0438\u043c \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442 \u043b\u0438 \u041e\u0414\u0417: x+y \\neq 6; 4+2 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[59],"tags":[],"class_list":["post-524","post","type-post","status-publish","format-standard","hentry","category-zadanie-20"],"_links":{"self":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/524","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/comments?post=524"}],"version-history":[{"count":1,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/524\/revisions"}],"predecessor-version":[{"id":3565,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/524\/revisions\/3565"}],"wp:attachment":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/media?parent=524"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/categories?post=524"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/tags?post=524"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}