{"id":1655,"date":"2022-03-23T17:28:39","date_gmt":"2022-03-23T17:28:39","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/pravidla-pocitani-linearnich-rovnic\/"},"modified":"2022-03-23T19:38:10","modified_gmt":"2022-03-23T19:38:10","slug":"pravidla-pocitani-linearnich-rovnic","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/pravidla-pocitani-linearnich-rovnic\/","title":{"rendered":"Pravidla po\u010d\u00edt\u00e1n\u00ed line\u00e1rn\u00edch rovnic"},"content":{"rendered":"<ul>\n<li>P\u0159i po\u010d\u00edt\u00e1n\u00ed line\u00e1rn\u00edch rovnic <strong>m\u016f\u017eeme pou\u017e\u00edvat ekvivalentn\u00ed \u00fapravy.<\/strong><\/li>\n<li>Ekvivalentn\u00ed \u00fapravy jsou takov\u00e9, kter\u00e9 <strong>nijak nezm\u011bn\u00ed platnost rovnice<\/strong>.<\/li>\n<li><strong>Strany rovnice m\u016f\u017eeme p\u0159ehazovat<\/strong>, nap\u0159\u00edklad:<\/li>\n<\/ul>\n<p style=\"text-align: center\">$$2=2(5x+1)$$ je to stejn\u00e9 jako $$2(5x+1)=2$$<\/p>\n<ul>\n<li>Ekvivalentn\u00edmi \u00fapravami jsou <strong>P\u0158I\u010c\u00cdT\u00c1N\u00cd A ODE\u010c\u00cdT\u00c1N\u00cd<\/strong>, <strong>kdy\u017e n\u011bco p\u0159i\u010dte\u0161 na jednu stranu rovnice, mus\u00ed\u0161 to p\u0159i\u010d\u00edst i na druhou<\/strong>. To sam\u00e9 plat\u00ed pro ode\u010d\u00edt\u00e1n\u00ed.<\/li>\n<\/ul>\n<p>$$x-2=8$$<\/p>\n<p>$$x-2=8\/+2$$<\/p>\n<p>$$x-2+2=8+2$$<\/p>\n<p>$$x=10$$<\/p>\n<ul>\n<li>Dal\u0161\u00edmim ekvivalentn\u00edmi \u00fapravami jsou <strong>N\u00c1SOBEN\u00cd A D\u011aLEN\u00cd<\/strong>. Ov\u0161em pozor: <strong>rovnici nikdy nesm\u00edme n\u00e1sobit \u010di d\u011blit nulou!<\/strong><\/li>\n<\/ul>\n","protected":false},"comment_status":"closed","ping_status":"closed","template":"","class_list":["post-1655","lesson","type-lesson","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Pravidla po\u010d\u00edt\u00e1n\u00ed line\u00e1rn\u00edch rovnic | Studijni-svet.cz<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/pravidla-pocitani-linearnich-rovnic\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pravidla po\u010d\u00edt\u00e1n\u00ed line\u00e1rn\u00edch rovnic | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"P\u0159i po\u010d\u00edt\u00e1n\u00ed line\u00e1rn\u00edch rovnic m\u016f\u017eeme pou\u017e\u00edvat ekvivalentn\u00ed \u00fapravy. Ekvivalentn\u00ed \u00fapravy jsou takov\u00e9, kter\u00e9 nijak nezm\u011bn\u00ed platnost rovnice. Strany rovnice m\u016f\u017eeme p\u0159ehazovat, nap\u0159\u00edklad: $$2=2(5x+1)$$ je to stejn\u00e9 jako $$2(5x+1)=2$$ Ekvivalentn\u00edmi \u00fapravami jsou P\u0158I\u010c\u00cdT\u00c1N\u00cd A ODE\u010c\u00cdT\u00c1N\u00cd, kdy\u017e n\u011bco p\u0159i\u010dte\u0161 na jednu stranu rovnice, mus\u00ed\u0161 to p\u0159i\u010d\u00edst i na druhou. To sam\u00e9 plat\u00ed pro ode\u010d\u00edt\u00e1n\u00ed. $$x-2=8$$ $$x-2=8\/+2$$ $$x-2+2=8+2$$ ... 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Ekvivalentn\u00ed \u00fapravy jsou takov\u00e9, kter\u00e9 nijak nezm\u011bn\u00ed platnost rovnice. Strany rovnice m\u016f\u017eeme p\u0159ehazovat, nap\u0159\u00edklad: $$2=2(5x+1)$$ je to stejn\u00e9 jako $$2(5x+1)=2$$ Ekvivalentn\u00edmi \u00fapravami jsou P\u0158I\u010c\u00cdT\u00c1N\u00cd A ODE\u010c\u00cdT\u00c1N\u00cd, kdy\u017e n\u011bco p\u0159i\u010dte\u0161 na jednu stranu rovnice, mus\u00ed\u0161 to p\u0159i\u010d\u00edst i na druhou. To sam\u00e9 plat\u00ed pro ode\u010d\u00edt\u00e1n\u00ed. $$x-2=8$$ $$x-2=8\/+2$$ $$x-2+2=8+2$$ ... 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