{"id":787,"date":"2024-12-26T16:42:55","date_gmt":"2024-12-26T13:42:55","guid":{"rendered":"https:\/\/currconv.ru\/blog\/17121-2\/"},"modified":"2025-05-02T18:12:33","modified_gmt":"2025-05-02T15:12:33","slug":"17121","status":"publish","type":"post","link":"https:\/\/currconv.ru\/blog\/17121\/","title":{"rendered":"\u041f\u0440\u0438\u043c\u0435\u0440 \u211678 \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=\"math21\"><\/div>\n<p><script>\nkatex.render(String.raw`\n\\displaystyle\n\\begin{cases}\n(x - 10)(y - 8) = 0 \\\\\n\\frac{y - 3}{x + y - 13} = 5\n\\end{cases}\n`, document.getElementById(\"math21\"), {\n  displayMode: true\n});\n<\/script><\/p>\n<p><span id=\"more-17121\"><\/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-13 \\neq 0;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x+y \\neq 13.<\/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-10)(y-8)=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-10=0;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x=10,<\/span><\/p>\n<p>\u0418\u043b\u0438<\/p>\n<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">y-8=0;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">y=8,<\/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-3}{x+y-13}=5; <\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\"> \\displaystyle \\frac{y-3}{10+y-13}=5;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">5 \\cdot (y-3)=y-3;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">5y-15=y-3;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">4y=12;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">y=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 11; <\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">10+3 = 13. <\/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-3}{x+y-13}=5; <\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\"> \\displaystyle \\frac{8-5}{x+8-13}=5;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">5 \\cdot (x-5)=5;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">5x-25=5;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">5x=30;<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">x=6.<\/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 13; <\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">6+8 \\neq 13. <\/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\">(6;8).<\/span><\/p>\n<p><strong>\u041e\u0442\u0432\u0435\u0442:<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">(6;8).<\/span><span class=\"MathJax\" id=\"MathJax-Element-4-Frame\" tabindex=\"0\" style=\"\"><nobr><span class=\"math\" id=\"MathJax-Span-15\" style=\"width: 1.2em; display: inline-block;\"><span style=\"display: inline-block; position: relative; width: 1.008em; height: 0px; font-size: 116%;\"><span style=\"position: absolute; clip: rect(1.535em, 1000.96em, 2.493em, -999.998em); top: -2.344em; left: 0em;\"><span style=\"display: inline-block; width: 0px; height: 2.349em;\"><\/span><\/span><span style=\"position: absolute; clip: rect(1.535em, 1000.96em, 2.493em, -999.998em); top: -2.344em; left: 0em;\"><\/span><\/span><\/span><\/nobr><\/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. \u0422\u0438\u043f\u043e\u0432\u044b\u0435 \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430\u0446\u0438\u043e\u043d\u043d\u044b\u0435 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u044b. 36 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432. \u042f\u0449\u0435\u043d\u043a\u043e \u0418. \u0412. (\u0432\u0430\u0440\u0438\u0430\u043d\u0442 1) <\/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-13 \\neq 0; x+y \\neq 13. \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-10)(y-8)=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-10=0; x=10, \u0418\u043b\u0438 y-8=0; y=8, 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-3}{x+y-13}=5; \\displaystyle \\frac{y-3}{10+y-13}=5; 5 \\cdot (y-3)=y-3; 5y-15=y-3; 4y=12; y=3. \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 11; [&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-787","post","type-post","status-publish","format-standard","hentry","category-zadanie-20"],"_links":{"self":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/787","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=787"}],"version-history":[{"count":1,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/787\/revisions"}],"predecessor-version":[{"id":3570,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/787\/revisions\/3570"}],"wp:attachment":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/media?parent=787"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/categories?post=787"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/tags?post=787"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}