{"id":257,"date":"2024-04-16T14:41:20","date_gmt":"2024-04-16T14:41:20","guid":{"rendered":"https:\/\/gbelentzas.sites.sch.gr\/?p=257"},"modified":"2024-05-05T04:47:43","modified_gmt":"2024-05-05T04:47:43","slug":"%cf%83%ce%b7%ce%bc%ce%b5%ce%af%ce%b1-%cf%84%ce%bf%ce%bc%ce%ae%cf%82-%ce%b5%cf%85%ce%b8%ce%b5%ce%af%ce%b1%cf%82-%ce%bc%ce%b5-%cf%84%ce%bf%cf%85%cf%82-%ce%ac%ce%be%ce%bf%ce%bd%ce%b5%cf%82","status":"publish","type":"post","link":"https:\/\/gbelentzas.sites.sch.gr\/?p=257","title":{"rendered":"\u03a3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c4\u03bf\u03bc\u03ae\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03ac\u03be\u03bf\u03bd\u03b5\u03c2"},"content":{"rendered":"<div class=\"h5p-iframe-wrapper\"><iframe id=\"h5p-iframe-3\" class=\"h5p-iframe\" data-content-id=\"3\" style=\"height:1px\" src=\"about:blank\" frameBorder=\"0\" scrolling=\"no\" title=\"H5P - 3.1 \u03a3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c4\u03bf\u03bc\u03ae\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03ac\u03be\u03bf\u03bd\u03b5\u03c2\"><\/iframe><\/div>\n<hr \/>\n<div class=\"page\" title=\"Page 7\">\n<div class=\"section\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<div>\n<div><span style=\"color: #000080;\"><em><strong><i class=\"fas fa-share\"><\/i> Math How-To Guide<\/strong><\/em><\/span><\/div>\n<\/div>\n<p>\u039d\u03b1 \u03b2\u03c1\u03b5\u03b8\u03bf\u03c5\u0301\u03bd \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03b9\u0301\u03b1 \u03c4\u03bf\u03bc\u03b7\u0301\u03c2 \u03c4\u03b7\u03c2 \u03b5\u03c5\u03b8\u03b5\u03b9\u0301\u03b1\u03c2 (\u03b5) : y -2x =4 , \u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03b1\u0301\u03be\u03bf\u03bd\u03b5\u03c2 x \u0301x \u03ba\u03b1\u03b9 y \u0301y.<\/p>\n<div id=\"solution-link-257\" class=\"sh-link solution-link sh-hide\"><a href=\"#\" onclick=\"showhide_toggle('solution', 257, '\u0394\u03b5\u03af\u03be\u03b5 \u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7', '\u0391\u03c0\u03cc\u03ba\u03c1\u03c5\u03c8\u03b5 \u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7'); return false;\" aria-expanded=\"false\"><span id=\"solution-toggle-257\">\u0394\u03b5\u03af\u03be\u03b5 \u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7<\/span><\/a><\/div><div id=\"solution-content-257\" class=\"sh-content solution-content sh-hide\" style=\"display: none;\"><\/p>\n<ul>\n<li>\u0393\u03b9\u03b1 y=0, \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 (\u03b1\u03bd\u03c4\u03b9\u03ba\u03b1\u03c4\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c3\u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7):<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-489f9dbd932e2d4f56ea00de821525d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#32;&#45;&#50;&#120;&#32;&#61;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"87\" style=\"vertical-align: 0px;\"\/> \u03ae <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-e8c02d7f1dcc27499a2c5f9cebd26c97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#50;&#120;&#32;&#61;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"68\" style=\"vertical-align: 0px;\"\/> \u00a0\u03ae <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-0c42792247389a3ca422996c2fa1d412_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#32;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#45;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"63\" style=\"vertical-align: -13px;\"\/> \u00a0\u03ae <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-cd23ee7070fb5ad097d50eaacd88febd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#61;&#45;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"60\" style=\"vertical-align: 0px;\"\/>.<\/p>\n<div class=\"page\" title=\"Page 7\">\n<div class=\"section\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<p>\u0391\u0301\u03c1\u03b1, \u03b7 (\u03b5) \u03c4\u03b5\u0301\u03bc\u03bd\u03b5\u03b9 \u03c4\u03bf\u03bd x \u0301x \u03c3\u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03b9\u0301\u03bf (-2, 0)<\/p>\n<ul>\n<li>\u0393\u03b9\u03b1 x=0, \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 (\u03b1\u03bd\u03c4\u03b9\u03ba\u03b1\u03c4\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c3\u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7):<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-103bf04b6376f83fdd0b3065c4e45bee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#32;&#45;&#50;&#92;&#99;&#100;&#111;&#116;&#32;&#48;&#32;&#61;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"99\" style=\"vertical-align: -4px;\"\/> \u03ae <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-c68af00d4a9f1db9ec1b8627543b51a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#45;&#48;&#32;&#61;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"76\" style=\"vertical-align: -4px;\"\/> \u00a0\u03ae <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-2c6ec18fcfd95564bca4582276d63f36_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"44\" style=\"vertical-align: -4px;\"\/>.<\/p>\n<div class=\"page\" title=\"Page 7\">\n<div class=\"section\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<p>\u0391\u0301\u03c1\u03b1, \u03b7 (\u03b5) \u03c4\u03b5\u0301\u03bc\u03bd\u03b5\u03b9 \u03c4\u03bf\u03bd <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-0f6cfe52927efb934e3025e179ae3988_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#39;&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"25\" style=\"vertical-align: -4px;\"\/> \u00a0\u03c3\u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03b9\u0301\u03bf (0, 4).<\/p>\n<p><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<hr \/>\n<p><em><strong><span style=\"color: #000080;\">\u00a0<i class=\"far fa-comment\"><\/i> \u00a0\u03a3\u03b7\u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2 \u0398\u03b5\u03c9\u03c1\u03af\u03b1\u03c2<\/span><\/strong><\/em><\/p>\n<p><strong>\u03a3\u03b7\u03bc\u03b5\u03af\u03bf \u03c4\u03bf\u03bc\u03ae\u03c2 \u03c4\u03b7\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03ac\u03be\u03bf\u03bd\u03b1 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-dba0460bf95a14033683adfc8b10172a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#39;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"26\" style=\"vertical-align: 0px;\"\/>.<\/strong>: \u0393\u03b9\u03b1 \u03bd\u03b1 \u03b2\u03c1o\u03cd\u03bc\u03b5 \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03b9\u0301\u03bf \u03c3\u03c4\u03bf \u03bf\u03c0\u03bf\u03b9\u0301\u03b1 \u03bc\u03b9\u03b1 \u03b5\u03c5\u03b8\u03b5\u03b9\u0301\u03b1 \u03c4\u03b5\u0301\u03bc\u03bd\u03b5\u03b9 \u03c4\u03bf\u03bd \u03ac\u03be\u03bf\u03bd\u03b1 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-dba0460bf95a14033683adfc8b10172a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#39;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"26\" style=\"vertical-align: 0px;\"\/>, \u03b8\u03b5\u0301\u03c4\u03bf\u03c5\u03bc\u03b5 \u03bf\u0301\u03c0\u03bf\u03c5 y = 0 \u03ba\u03b1\u03b9 \u03bb\u03c5\u0301\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03be\u03b9\u0301\u03c3\u03c9\u03c3\u03b7, \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03ba\u03c5\u0301\u03c0\u03c4\u03b5\u03b9.<\/p>\n<p><strong>\u03a3\u03b7\u03bc\u03b5\u03af\u03bf \u03c4\u03bf\u03bc\u03ae\u03c2 \u03c4\u03b7\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03ac\u03be\u03bf\u03bd\u03b1 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-0f6cfe52927efb934e3025e179ae3988_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#39;&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"25\" style=\"vertical-align: -4px;\"\/>.<\/strong>: \u0393\u03b9\u03b1 \u03bd\u03b1 \u03b2\u03c1o\u03cd\u03bc\u03b5 \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03b9\u0301\u03bf \u03c3\u03c4\u03bf \u03bf\u03c0\u03bf\u03b9\u0301\u03b1 \u03bc\u03b9\u03b1 \u03b5\u03c5\u03b8\u03b5\u03b9\u0301\u03b1 \u03c4\u03b5\u0301\u03bc\u03bd\u03b5\u03b9 \u03c4\u03bf\u03bd \u03ac\u03be\u03bf\u03bd\u03b1 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-0f6cfe52927efb934e3025e179ae3988_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#39;&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"25\" style=\"vertical-align: -4px;\"\/>, \u03b8\u03b5\u0301\u03c4\u03bf\u03c5\u03bc\u03b5 \u03bf\u0301\u03c0\u03bf\u03c5 x = 0 \u03ba\u03b1\u03b9 \u03bb\u03c5\u0301\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03be\u03b9\u0301\u03c3\u03c9\u03c3\u03b7, \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03ba\u03c5\u0301\u03c0\u03c4\u03b5\u03b9.<\/p>\n<hr \/>\n<p><em><span style=\"color: #000080;\"><strong><i class=\"fas fa-download\"><\/i> Let&#8217;s practice<\/strong><\/span><\/em><\/p>\n<p><strong>\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 1.\u00a0<\/strong> \u0394\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b7 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 (\u03b5) \u00a0\u03bc\u03b5 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 y=3x-1. \u039d\u03b1 \u03b2\u03c1\u03b5\u03af\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c4\u03c9\u03bd \u03c3\u03b7\u03bc\u03b5\u03af\u03c9\u03bd \u03c0\u03bf\u03c5 \u03b7 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03c4\u03ad\u03bc\u03bd\u03b5\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03ac\u03be\u03bf\u03bd\u03b5\u03c2.<\/p>\n<p><strong>\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 2.<\/strong> \u0391\u03bd \u03b7 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03b5 : 4x + 3y = 12 \u03c4\u03ad\u03bc\u03bd\u03b5\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03ac\u03be\u03bf\u03bd\u03b5\u03c2 x\u0384 \u03ba\u03b1\u03b9 y\u0384y \u03c3\u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u0391 \u03ba\u03b1\u03b9 \u0392 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03af\u03c7\u03c9\u03c2, \u03c4\u03cc\u03c4\u03b5:<\/p>\n<p>\u03b1) \u039d\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03af\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c4\u03c9\u03bd \u03c3\u03b7\u03bc\u03b5\u03af\u03c9\u03bd \u0391 \u03ba\u03b1\u03b9 \u0392.<\/p>\n<p>\u03b2) \u039d\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03b5\u03c4\u03b5 \u03c4\u03bf \u03b5\u03bc\u03b2\u03b1\u03b4\u03cc\u03bd \u03c4\u03bf\u03c5 \u03c4\u03c1\u03b9\u03b3\u03ce\u03bd\u03bf\u03c5 \u039f\u0391\u0392, \u03cc\u03c0\u03bf\u03c5 \u039f \u03b7 \u03b1\u03c1\u03c7\u03ae \u03c4\u03c9\u03bd \u03b1\u03be\u03cc\u03bd\u03c9\u03bd.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Math How-To Guide \u039d\u03b1 \u03b2\u03c1\u03b5\u03b8\u03bf\u03c5\u0301\u03bd \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03b9\u0301\u03b1 \u03c4\u03bf\u03bc\u03b7\u0301\u03c2 \u03c4\u03b7\u03c2 \u03b5\u03c5\u03b8\u03b5\u03b9\u0301\u03b1\u03c2 (\u03b5) : y -2x =4 , \u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03b1\u0301\u03be\u03bf\u03bd\u03b5\u03c2 x \u0301x \u03ba\u03b1\u03b9 y \u0301y. \u00a0 \u00a0\u03a3\u03b7\u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2 \u0398\u03b5\u03c9\u03c1\u03af\u03b1\u03c2 \u03a3\u03b7\u03bc\u03b5\u03af\u03bf \u03c4\u03bf\u03bc\u03ae\u03c2 \u03c4\u03b7\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03ac\u03be\u03bf\u03bd\u03b1 .: \u0393\u03b9\u03b1 \u03bd\u03b1 \u03b2\u03c1o\u03cd\u03bc\u03b5 \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03b9\u0301\u03bf \u03c3\u03c4\u03bf \u03bf\u03c0\u03bf\u03b9\u0301\u03b1 \u03bc\u03b9\u03b1 \u03b5\u03c5\u03b8\u03b5\u03b9\u0301\u03b1 \u03c4\u03b5\u0301\u03bc\u03bd\u03b5\u03b9 \u03c4\u03bf\u03bd \u03ac\u03be\u03bf\u03bd\u03b1 , \u03b8\u03b5\u0301\u03c4\u03bf\u03c5\u03bc\u03b5 \u03bf\u0301\u03c0\u03bf\u03c5&#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-257","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 v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u03a3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c4\u03bf\u03bc\u03ae\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03ac\u03be\u03bf\u03bd\u03b5\u03c2 - MathsEdu.gr<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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