{"id":552,"date":"2024-04-19T12:06:20","date_gmt":"2024-04-19T12:06:20","guid":{"rendered":"https:\/\/gbelentzas.sites.sch.gr\/?p=552"},"modified":"2024-04-20T18:49:36","modified_gmt":"2024-04-20T18:49:36","slug":"%ce%b3%cf%81%ce%b1%cf%86%ce%b9%ce%ba%ce%ae-%ce%b5%cf%80%ce%af%ce%bb%cf%85%cf%83%ce%b7-%ce%b3%cf%81%ce%b1%ce%bc%ce%bc%ce%b9%ce%ba%ce%bf%cf%8d-%cf%83%cf%85%cf%83%cf%84%ce%ae%ce%bc%ce%b1%cf%84%ce%bf-3","status":"publish","type":"post","link":"https:\/\/gbelentzas.sites.sch.gr\/?p=552","title":{"rendered":"\u0393\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03bf\u03cd \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03bc\u03b5 \u03b4\u03cd\u03bf \u03b1\u03b3\u03bd\u03ce\u03c3\u03c4\u03bf\u03c5\u03c2 (\u0391\u03cc\u03c1\u03b9\u03c3\u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1)"},"content":{"rendered":"
\n

<\/i> Math How-To Guide<\/em><\/span><\/h4>\n<\/div>\n

\u039d\u03b1 \u03b5\u03c0\u03b9\u03bb\u03c5\u03b8\u03b5\u03af \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ac \u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1\u00a0<\/span><\/p>\n

\n
\"\textcolor{blue}{(\Sigma):\left\{\begin{array}{c} 3x-y=6\\ \end{array}\right.}\"<\/span><\/div>\n
<\/div>\n
\u0398\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c3\u03c7\u03b5\u03b4\u03b9\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c3\u03c4\u03bf \u03af\u03b4\u03b9\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b1\u03be\u03cc\u03bd\u03c9\u03bd \u03c4\u03b9\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b5\u03c2 \"\epsilon_1: 3x-y=6\" \u03ba\u03b1\u03b9 \"\epsilon_2: 6x-2y=12\"<\/div>\n<\/div>\n

\u0395\u03c5\u03b8\u03b5\u03af\u03b1<\/strong> \"\epsilon_1\": \u0393\u03b9\u03b1 \u03bd\u03b1 \u03c4\u03b7 \u03c3\u03c7\u03b5\u03b4\u03b9\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b4\u03cd\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c4\u03b7\u03c2.<\/p>\n

    \n
  • \u0393\u03b9\u03b1 \"x = 0\" \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \"3x-y=6\"\u00a0\u03ae \"3\cdot 0-y=6\" \u03ae \"-y=6\" \u03ae \"y = -6\", \u03ac\u03c1\u03b1 \u03b7 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \"\epsilon_1\" \u03b4\u03b9\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u0391(0, -6).<\/li>\n
  • \u0393\u03b9\u03b1 \"x = 3\"\u00a0\u00a0\u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \"3x-y=6\" \u03ae \"3\cdot 3-y=6\" \u03ae \"9-y=6\" \u03ae \"-y = 6-9\" \u03ae \"-y = -3\" \u03ae \"y = 3\", \u03ac\u03c1\u03b1 \u03b7 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \"\epsilon_1\" \u03b4\u03b9\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u0392(3, 3).<\/li>\n<\/ul>\n

    \u0395\u03c5\u03b8\u03b5\u03af\u03b1 <\/strong>\"\epsilon_2\": \u0393\u03b9\u03b1 \u03bd\u03b1 \u03c4\u03b7 \u03c3\u03c7\u03b5\u03b4\u03b9\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b4\u03cd\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c4\u03b7\u03c2.<\/p>\n

      \n
    • \u0393\u03b9\u03b1 \"x = 0\" \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \"6x-2y=12\" \u03ae \"6\cdot 0- 2y=12\"\u00a0 \u03ae \"0-2y=12\" \u03ae \u00a0\"y = -6\", \u03ac\u03c1\u03b1 \u03b7 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \"\epsilon_2\" \u03b4\u03b9\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03ba\u03b1\u03b9 \u03b1\u03c5\u03c4\u03ae \u03b1\u03c0\u03cc \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u0391(0, -6).<\/li>\n
    • \u0393\u03b9\u03b1 \"x = 3\" \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \"6x-2y=12\" \u03ae \"6\cdot 3- 2y=12\"\u00a0 \u03ae \"18-2 y=12\" \u03ae \"-2y=12-18\" \u03ae \u00a0\"y = 3\", \u03ac\u03c1\u03b1 \u03b7 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \"\epsilon_2\" \u03b4\u03b9\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03ba\u03b1\u03b9 \u03b1\u03c5\u03c4\u03ae \u03b1\u03c0\u03cc \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u0392(3, 3).<\/li>\n<\/ul>\n

      \u03a0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03bf\u03b9 \u03b5\u03c5\u03b8\u03b5\u03af\u03b5\u03c2 \"\epsilon_1, \epsilon_2\" \u03c3\u03c5\u03bc\u03c0\u03af\u03c0\u03c4\u03bf\u03c5\u03bd (\u03c4\u03b1\u03c5\u03c4\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9).<\/strong>\u0386\u03c1\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bd \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03ba\u03bf\u03b9\u03bd\u03ac \u03ba\u03b1\u03b9 \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03ac\u03c0\u03b5\u03b9\u03c1\u03b5\u03c2 \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2<\/strong>. \u03a3\u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7 \u03b1\u03c5\u03c4\u03ae \u03bb\u03ad\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03cc\u03c1\u03b9\u03c3\u03c4\u03bf<\/strong>.<\/p>\n

      \"Rendered<\/p>\n

      \n
      \n

      <\/i> \u03a3\u03b7\u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2 \u0398\u03b5\u03c9\u03c1\u03af\u03b1\u03c2<\/em><\/span><\/h4>\n<\/div>\n

      \u0388\u03c3\u03c4\u03c9\u00a0 \u03b4\u03cd\u03bf \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ad\u03c2 \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b5 \u03b4\u03cd\u03bf \u03b1\u03b3\u03bd\u03ce\u03c3\u03c4\u03bf\u03c5\u03c2 x, y, \u03c4\u03b9\u03c2<\/p>\n

        <\/span>   <\/span>\"\[\left\{\begin{array}{l}\alpha_1 x+\beta_1 y=\gamma_1 \\ \alpha_2 x+\beta_2 y=\gamma_2\end{array}\right.\]\"<\/p>\n

      \u03ba\u03b1\u03b9 \u03b1\u03bd\u03b1\u03b6\u03b7\u03c4\u03bf\u03cd\u03bc\u03b5 \u03c4\u03bf \u03b6\u03b5\u03cd\u03b3\u03bf\u03c2 \u03c4\u03c9\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd (\u03b1, \u03b2) \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03b1\u03c5\u03c4\u03cc\u03c7\u03c1\u03bf\u03bd\u03b1 \u03bb\u03cd\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03b4\u03cd\u03bf \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd.<\/p>\n

      \u0393\u03b9\u03b1 \u03c4\u03b7 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7<\/strong> \u03b5\u03bd\u03cc\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03bf\u03cd \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b5\u03c1\u03b3\u03b1\u03b6\u03cc\u03bc\u03b1\u03c3\u03c4\u03b5 \u03c9\u03c2 \u03b5\u03be\u03ae\u03c2:<\/p>\n

        \n
      • \u03a3\u03c7\u03b5\u03b4\u03b9\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c3\u03c4\u03bf \u03af\u03b4\u03b9\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b1\u03be\u03cc\u03bd\u03c9\u03bd \u03c4\u03b9\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b5\u03c2 \"\epsilon_1: \alpha_1 x+\beta_1 y=\gamma_1\" \u03ba\u03b1\u03b9\u00a0\"\epsilon_2: \alpha_2 x+\beta_2 y=\gamma_2\"\u00a0\u03c4\u03c9\u03bd \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd \u03c4\u03bf\u03c5 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2.<\/li>\n
      • \u0391\u03bd \u03bf\u03b9 \u03b5\u03c5\u03b8\u03b5\u03af\u03b5\u03c2 \u03c3\u03c5\u03bc\u03c0\u03af\u03c0\u03c4\u03bf\u03c5\u03bd (\u03c4\u03b1\u03c5\u03c4\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9), <\/strong>\u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03ad\u03c7\u03bf\u03c5\u03bd \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03ba\u03bf\u03b9\u03bd\u03ac \u03ba\u03b1\u03b9 \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03ad\u03c7\u03b5\u03b9\u00a0\u03ac\u03c0\u03b5\u03b9\u03c1\u03b5\u03c2 \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2<\/strong>. \u03a3\u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7 \u03b1\u03c5\u03c4\u03ae \u03bb\u03ad\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9\u00a0\u03b1\u03cc\u03c1\u03b9\u03c3\u03c4\u03bf<\/strong>.<\/li>\n<\/ul>\n
        \n
        \n

        <\/i> Let’s practice<\/span><\/em><\/h4>\n<\/div>\n

        \u0391\u03c3\u03ba.1<\/strong> \u039d\u03b1 \u03b5\u03c0\u03b9\u03bb\u03c5\u03b8\u03b5\u03af \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ac \u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \"(\Sigma):\left\{\begin{array}{c} 2x+y=1 \\ 4x+ 2y=2\end{array}\right.\"<\/p>\n

        \u0391\u03c3\u03ba.2<\/strong> \u039d\u03b1 \u03b5\u03c0\u03b9\u03bb\u03c5\u03b8\u03b5\u03af \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ac \u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \"(\Sigma):\left\{\begin{array}{c} 2x-3y=2 \\ -4x+6y=-4\end{array}\right.\"<\/p>\n","protected":false},"excerpt":{"rendered":"

        Math How-To Guide \u039d\u03b1 \u03b5\u03c0\u03b9\u03bb\u03c5\u03b8\u03b5\u03af \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ac \u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1\u00a0 \u0398\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c3\u03c7\u03b5\u03b4\u03b9\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c3\u03c4\u03bf \u03af\u03b4\u03b9\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b1\u03be\u03cc\u03bd\u03c9\u03bd \u03c4\u03b9\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b5\u03c2 \u03ba\u03b1\u03b9 \u0395\u03c5\u03b8\u03b5\u03af\u03b1 : \u0393\u03b9\u03b1 \u03bd\u03b1 \u03c4\u03b7 \u03c3\u03c7\u03b5\u03b4\u03b9\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b4\u03cd\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c4\u03b7\u03c2. \u0393\u03b9\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u00a0\u03ae \u03ae \u03ae , \u03ac\u03c1\u03b1 \u03b7 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03b4\u03b9\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u0391(0, -6). \u0393\u03b9\u03b1 \u00a0\u00a0\u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03ae…<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-552","post","type-post","status-publish","format-standard","hentry","category-3---"],"featured_image_src":null,"author_info":{"display_name":"Gvel School","author_link":"https:\/\/gbelentzas.sites.sch.gr\/?author=3"},"yoast_head":"\n\u0393\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03bf\u03cd \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03bc\u03b5 \u03b4\u03cd\u03bf \u03b1\u03b3\u03bd\u03ce\u03c3\u03c4\u03bf\u03c5\u03c2 (\u0391\u03cc\u03c1\u03b9\u03c3\u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1) - 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\" href=\"https:\/\/gbelentzas.sites.sch.gr\/?p=552\" \/>\n<meta property=\"og:locale\" content=\"el_GR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0393\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03bf\u03cd \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03bc\u03b5 \u03b4\u03cd\u03bf \u03b1\u03b3\u03bd\u03ce\u03c3\u03c4\u03bf\u03c5\u03c2 (\u0391\u03cc\u03c1\u03b9\u03c3\u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1) - MathsEdu.gr\" \/>\n<meta property=\"og:description\" content=\"Math How-To Guide \u039d\u03b1 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