{"id":267,"date":"2024-04-16T15:15:11","date_gmt":"2024-04-16T15:15:11","guid":{"rendered":"https:\/\/gbelentzas.sites.sch.gr\/?p=267"},"modified":"2024-05-09T07:37:34","modified_gmt":"2024-05-09T07:37:34","slug":"%cf%83%ce%b7%ce%bc%ce%b5%ce%af%ce%bf-%ce%b1%ce%bd%ce%ae%ce%ba%ce%b5%ce%b9-%cf%83%ce%b5-%ce%bc%ce%b9%ce%b1-%ce%b5%cf%85%ce%b8%ce%b5%ce%af%ce%b1","status":"publish","type":"post","link":"https:\/\/gbelentzas.sites.sch.gr\/?p=267","title":{"rendered":"\u0388\u03bb\u03b5\u03b3\u03c7\u03bf\u03c2 \u03b1\u03bd \u03bc\u03b9\u03b1 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03b4\u03b9\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c3\u03b7\u03bc\u03b5\u03af\u03bf (\u03bc\u03ad\u03c1\u03bf\u03c2 \u0392)"},"content":{"rendered":"<h4><span style=\"color: #000080;\"><strong><i class=\"fas fa-share\"><\/i> Math How-To Guide<\/strong><\/span><\/h4>\n<div class=\"page\" title=\"Page 7\">\n<div class=\"section\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<p><span style=\"color: #0000ff;\"><em><strong>\u0395\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae 1.<\/strong>\u00a0\u039d\u03b1 \u03b5\u03be\u03b5\u03c4\u03b1\u0301\u03c3\u03b5\u03c4\u03b5 \u03b1\u03bd \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03b9\u0301\u03b1 \u0391 (\u22121, 4) \u00a0\u03ba\u03b1\u03b9 \u0392(2, -1) \u00a0\u03b5\u03b9\u0301\u03bd\u03b1\u03b9 \u03c3\u03b7\u03bc\u03b5\u03b9\u0301\u03b1 \u03c4\u03b7\u03c2 \u03b5\u03c5\u03b8\u03b5\u03b9\u0301\u03b1\u03c2 (\u03b5) , \u03bc\u03b5 \u03b5\u03be\u03b9\u0301\u03c3\u03c9\u03c3\u03b7 2x-3y=-14.<\/em><\/span><\/p>\n<h4><strong><div id=\"solution-link-267\" class=\"sh-link solution-link sh-hide\"><a href=\"#\" onclick=\"showhide_toggle('solution', 267, '\u0394\u03b5\u03af\u03be\u03b5 \u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7', '\u039a\u03c1\u03cd\u03c8\u03b5 \u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7'); return false;\" aria-expanded=\"false\"><span id=\"solution-toggle-267\">\u0394\u03b5\u03af\u03be\u03b5 \u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7<\/span><\/a><\/div><div id=\"solution-content-267\" class=\"sh-content solution-content sh-hide\" style=\"display: none;\"><\/strong><\/h4>\n<p>\u03a4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u0391(-1,4) \u03b8\u03b1 \u03b1\u03bd\u03ae\u03ba\u03b5\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 (\u03b5), \u03b1\u03bd \u03bf\u03b9 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c4\u03bf\u03c5 \u03b5\u03c0\u03b1\u03bb\u03b7\u03b8\u03b5\u03cd\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2. \u00a0\u03a4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u00a0\u03ad\u03c7\u03b5\u03b9 \u03c4\u03b5\u03c4\u03bc\u03b7\u03bc\u03ad\u03bd\u03b7 x=-1 \u00a0\u03ba\u03b1\u03b9 \u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b7 y = 4.<\/p>\n<p>\u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2, \u00a0\u03b7 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03b3\u03c1\u03ac\u03c6\u03b5\u03c4\u03b1\u03b9:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-039117be3a0f2acd4c0fa84f330fd014_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#120;&#45;&#51;&#121;&#61;&#45;&#49;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"120\" style=\"vertical-align: -4px;\"\/> \u03ae <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-0837b1328148a9e773a74f34b45b354d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#92;&#99;&#100;&#111;&#116;&#32;&#40;&#45;&#49;&#41;&#45;&#51;&#92;&#99;&#100;&#111;&#116;&#32;&#52;&#61;&#45;&#49;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"175\" style=\"vertical-align: -5px;\"\/> \u03ae <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-5d2327ffd1ec5363cbe424ceacc5024d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#50;&#45;&#49;&#50;&#61;&#45;&#49;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"123\" style=\"vertical-align: 0px;\"\/> \u03ae \u00a0<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-15d7a832871405be0a3bd916fb0ffdcc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#49;&#52;&#61;&#45;&#49;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"90\" style=\"vertical-align: 0px;\"\/> \u0391\u03bb\u03b7\u03b8\u03ae\u03c2.<\/p>\n<p>\u0386\u03c1\u03b1 \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u0391(-1,4) <strong>\u03b1\u03bd\u03ae\u03ba\u03b5\u03b9<\/strong> \u03c3\u03c4\u03b7\u03bd \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 (\u03b5).<\/p>\n<p>\u03a4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u0392(2, -1) \u03b1\u03bd\u03ae\u03ba\u03b5\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 (\u03b5), \u03b1\u03bd \u03bf\u03b9 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c4\u03bf\u03c5 \u03b5\u03c0\u03b1\u03bb\u03b7\u03b8\u03b5\u03cd\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2. \u03a4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u00a0\u03ad\u03c7\u03b5\u03b9 \u03c4\u03b5\u03c4\u03bc\u03b7\u03bc\u03ad\u03bd\u03b7 x=2 \u00a0\u03ba\u03b1\u03b9 \u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b7 y = -1.<\/p>\n<p>\u03a4\u03cc\u03c4\u03b5, \u00a0\u03b7 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03b3\u03c1\u03ac\u03c6\u03b5\u03c4\u03b1\u03b9:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-039117be3a0f2acd4c0fa84f330fd014_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#120;&#45;&#51;&#121;&#61;&#45;&#49;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"120\" style=\"vertical-align: -4px;\"\/> \u03ae <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-ecc4d9db4e2973d24c7fe0574d07b82d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#92;&#99;&#100;&#111;&#116;&#32;&#32;&#50;&#32;&#45;&#51;&#92;&#99;&#100;&#111;&#116;&#32;&#40;&#45;&#49;&#41;&#61;&#45;&#49;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"175\" style=\"vertical-align: -5px;\"\/> \u03ae <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-1d08de54487084588c69659a6c87910d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#43;&#51;&#61;&#45;&#49;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"100\" style=\"vertical-align: -2px;\"\/> \u03ae \u00a0<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-53ac3cd8c8089ede6a47479daba9affc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#61;&#45;&#49;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"66\" style=\"vertical-align: 0px;\"\/> <strong>\u03a8\u03b5\u03c5\u03b4\u03ae\u03c2<\/strong>.<\/p>\n<p>\u0386\u03c1\u03b1 \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u0392(2, -1)<strong> \u03b4\u03b5\u03bd \u03b1\u03bd\u03ae\u03ba\u03b5\u03b9<\/strong> \u03c3\u03c4\u03b7\u03bd \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 (\u03b5).<\/p>\n<\/div>\n<div class=\"column\">\n<p><\/div><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<hr \/>\n<h4><em><span style=\"color: #000080;\"><strong>\u00a0<\/strong><\/span><\/em><em><span style=\"color: #000080;\"><strong><i class=\"far fa-comment\"><\/i> \u00a0\u03a3\u03b7\u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2 \u0398\u03b5\u03c9\u03c1\u03af\u03b1\u03c2<\/strong><\/span><\/em><\/h4>\n<ul class=\"list-redbull\">\n<li>\u0391\u03bd \u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03b1\u03bd\u03ae\u03ba\u03b5\u03b9 \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1, \u03c4\u03cc\u03c4\u03b5 \u03bf\u03b9 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c4\u03bf\u03c5 \u03b5\u03c0\u03b1\u03bb\u03b7\u03b8\u03b5\u03cd\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2.<\/li>\n<li>\u0391\u03bd \u03bf\u03b9 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf\u03c5 \u03b5\u03c0\u03b1\u03bb\u03b7\u03b8\u03b5\u03cd\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03bc\u03b9\u03b1\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2, \u03c4\u03cc\u03c4\u03b5 \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03b1\u03bd\u03ae\u03ba\u03b5\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03b1\u03c5\u03c4\u03ae.<\/li>\n<\/ul>\n<hr \/>\n<h4><em><span style=\"color: #000080;\"><strong><i class=\"fas fa-download\"><\/i>\u00a0<\/strong><\/span><\/em><strong><em><span style=\"color: #000080;\">Let&#8217;s practice<\/span><\/em><\/strong><\/h4>\n<p><strong>\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 1.<\/strong> \u03a0\u03bf\u03b9\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b1 \u03b6\u03b5\u03cd\u03b3\u03b7 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-6ba167f6fa0e80c74066275ad812d89b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#57;&#44;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"39\" style=\"vertical-align: -5px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-061837167d1950582823d85c09de6c83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#48;&#44;&#54;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"39\" style=\"vertical-align: -5px;\"\/>,<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-8e48a0fd549f7793ad73aa19f32a1d75_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#51;&#44;&#45;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"54\" style=\"vertical-align: -5px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-9817bcda9d2cb5c2f9999ea7cbb52a87_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#54;&#44;&#48;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"39\" style=\"vertical-align: -5px;\"\/> \u03ba\u03b1\u03b9 (2, -4) <span style=\"color: #333333;\">\u03b5\u03b9\u0301\u03bd\u03b1\u03b9 \u03c3\u03b7\u03bc\u03b5\u03b9\u0301\u03b1 \u03c4\u03b7\u03c2 \u03b5\u03c5\u03b8\u03b5\u03b9\u0301\u03b1\u03c2 (\u03b5) , \u03bc\u03b5 \u03b5\u03be\u03b9\u0301\u03c3\u03c9\u03c3\u03b7 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-039117be3a0f2acd4c0fa84f330fd014_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#120;&#45;&#51;&#121;&#61;&#45;&#49;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"120\" style=\"vertical-align: -4px;\"\/>.\u00a0<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Math How-To Guide \u0395\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae 1.\u00a0\u039d\u03b1 \u03b5\u03be\u03b5\u03c4\u03b1\u0301\u03c3\u03b5\u03c4\u03b5 \u03b1\u03bd \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03b9\u0301\u03b1 \u0391 (\u22121, 4) \u00a0\u03ba\u03b1\u03b9 \u0392(2, -1) \u00a0\u03b5\u03b9\u0301\u03bd\u03b1\u03b9 \u03c3\u03b7\u03bc\u03b5\u03b9\u0301\u03b1 \u03c4\u03b7\u03c2 \u03b5\u03c5\u03b8\u03b5\u03b9\u0301\u03b1\u03c2 (\u03b5) , \u03bc\u03b5 \u03b5\u03be\u03b9\u0301\u03c3\u03c9\u03c3\u03b7 2x-3y=-14. \u00a0 \u00a0\u03a3\u03b7\u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2 \u0398\u03b5\u03c9\u03c1\u03af\u03b1\u03c2 \u0391\u03bd \u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03b1\u03bd\u03ae\u03ba\u03b5\u03b9 \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1, \u03c4\u03cc\u03c4\u03b5 \u03bf\u03b9 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c4\u03bf\u03c5 \u03b5\u03c0\u03b1\u03bb\u03b7\u03b8\u03b5\u03cd\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2. \u0391\u03bd \u03bf\u03b9 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf\u03c5 \u03b5\u03c0\u03b1\u03bb\u03b7\u03b8\u03b5\u03cd\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-267","post","type-post","status-publish","format-standard","hentry","category-3---"],"featured_image_src":null,"author_info":{"display_name":"admin","author_link":"https:\/\/gbelentzas.sites.sch.gr\/?author=1"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0388\u03bb\u03b5\u03b3\u03c7\u03bf\u03c2 \u03b1\u03bd \u03bc\u03b9\u03b1 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03b4\u03b9\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 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