{"id":109068,"date":"2020-01-29T18:13:22","date_gmt":"2020-01-29T17:13:22","guid":{"rendered":"https:\/\/www.superprof.es\/diccionario\/algebra\/ecuaciones-equivalentes.html"},"modified":"2024-05-27T17:51:31","modified_gmt":"2024-05-27T15:51:31","slug":"ecuaciones-equivalentes","status":"publish","type":"post","link":"https:\/\/www.superprof.es\/diccionario\/matematicas\/algebra\/ecuaciones-equivalentes.html","title":{"rendered":"Ecuaciones equivalentes"},"content":{"rendered":"<section style=\"\">\n<p class=\"\"><strong>Dos ecuaciones son equivalentes si tienen la misma soluci\u00f3n.<\/strong><\/p>\n<p class=\"actividades_2_g\">2x  \u2212 3 = 3x + 2   x =  \u22125<\/p>\n<p class=\"actividades_2_v\">x + 3 =  \u2212    x =  \u22125<\/p>\n<h3 class=\"r\" style=\"margin-top:30px;\">Criterios de equivalencia de ecuaciones<\/h3>\n<p class=\"\" style=\"\"><strong><\/p>\n<h2>1.<\/h2>\n<p> Si a los dos miembros de una ecuaci\u00f3n se les suma o se les resta una misma cantidad, la ecuaci\u00f3n es equivalente a la dada.<\/strong><\/p>\n<p class=\"actividades_2_v\"><span>x + 3 =  \u22122 <\/span><\/p>\n<p class=\"actividades_2_r\"><span>x + 3 \u2212 3 =  \u22122 \u2212 3<\/span>    <\/p>\n<p class=\"actividades_2_v\"><span>\u00a0\u00a0x =  \u22125 <\/span><\/p>\n<p class=\"\" style=\"\"><strong><\/p>\n<h2>2.<\/h2>\n<p>Si <strong>multiplicamos o dividimos ambos miembros<\/strong> de una ecuaci\u00f3n  <strong>por un n\u00famero distinto de cero<\/strong>, la ecuaci\u00f3n<strong><\/strong> resultante es <strong>equivalente<\/strong>.<\/strong><\/p>\n<p class=\"actividades_2_v\"><span>5x + 10 =  15 <\/span><\/p>\n<p class=\"actividades_2_r\"><span>(5x + 10)  :  5 =  15 : 5 <\/span>    <\/p>\n<p class=\"actividades_2_v\"> <span>x + 2 = 3  <\/span>   <\/p>\n<p class=\"actividades_2_r\"> x + 2 \u22122= 3  \u22122<\/p>\n<p class=\"actividades_2_v\">x = 1 <\/p>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Dos ecuaciones son equivalentes si tienen la misma soluci\u00f3n. 2x \u2212 3 = 3x + 2 x = \u22125 x + 3 = \u2212 x = \u22125 Criterios de equivalencia de ecuaciones 1. Si a los dos miembros de una ecuaci\u00f3n se les suma o se les resta una misma cantidad, la ecuaci\u00f3n es equivalente [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[378],"tags":[375],"class_list":["post-109068","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-e"],"acf":[],"author_meta":{"display_name":"Andra","author_link":"https:\/\/www.superprof.es\/diccionario\/author\/andra"},"featured_img":null,"coauthors":[],"tax_additional":{"categories":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/algebra\" class=\"advgb-post-tax-term\">\u00c1lgebra<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">\u00c1lgebra<\/span>"]},"tags":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/algebra\" class=\"advgb-post-tax-term\">e<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">e<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 6 a\u00f1os hace","modified":"Actualizado 2 a\u00f1os hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 27 mayo 2024"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 13 min","modified":"Actualizado el 27 mayo 2024 17 h 51 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/109068","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/comments?post=109068"}],"version-history":[{"count":1,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/109068\/revisions"}],"predecessor-version":[{"id":136199,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/109068\/revisions\/136199"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=109068"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=109068"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=109068"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}