{"id":1942,"date":"2024-10-20T14:36:09","date_gmt":"2024-10-20T14:36:09","guid":{"rendered":"https:\/\/gbelentzas.sites.sch.gr\/?p=1942"},"modified":"2025-11-15T14:24:50","modified_gmt":"2025-11-15T14:24:50","slug":"1-2-%ce%b5%cf%80%ce%af%ce%bb%cf%85%cf%83%ce%b7-%ce%b5%ce%be%ce%b9%cf%83%cf%8e%cf%83%ce%b5%cf%89%ce%bd-%ce%b5%ce%be%ce%b9%cf%83%cf%8e%cf%83%ce%b5%ce%b9%cf%82-%ce%bc%ce%b5-%cf%80%ce%b1%cf%81%ce%b1","status":"publish","type":"post","link":"https:\/\/gbelentzas.sites.sch.gr\/?p=1942","title":{"rendered":"1.2 \u0395\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd \u03b1\u2019 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd – \u0395\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b5 \u03c0\u03b1\u03c1\u03b1\u03bd\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2"},"content":{"rendered":"

\u03a0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1:<\/strong> <\/span><\/em>\u039d\u03b1 \u03bb\u03c5\u03b8\u03b5\u03af \u03b7 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \"5(x-3)-2(x+4)=x-7\"<\/p>\n

\u0393\u03b9\u03b1 \u03bd\u03b1 \u03b5\u03c0\u03b9\u03bb\u03cd\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u00a0\u03b8\u03b1 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1:<\/p>\n

\u0392\u03ae\u03bc\u03b1 1: \u0391\u03c0\u03b1\u03bb\u03bf\u03b9\u03c6\u03ae \u03c0\u03b1\u03c1\u03b5\u03bd\u03b8\u03ad\u03c3\u03b5\u03c9\u03bd <\/strong>\u03ba\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03c4\u03b7\u03c2 \u03b5\u03c0\u03b9\u03bc\u03b5\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2.<\/b><\/p>\n

\u0391\u03c1\u03c7\u03b9\u03ba\u03ac, \u03b8\u03b1 \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03bc\u03b5\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c3\u03c4\u03bf\u03c5\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2 \u00a0<\/span>\"5(x-3)\" \u03ba\u03b1\u03b9 \"-2(x+4)\".<\/p>\n

\u0391\u03c5\u03c4\u03cc \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03ad\u03be\u03c9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03ad\u03bd\u03b8\u03b5\u03c3\u03b7 \u03bc\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03cc\u03c1\u03bf \u03bc\u03ad\u03c3\u03b1 \u03c3\u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03ad\u03bd\u03b8\u03b5\u03c3\u03b7:<\/p>\n

\u0388\u03c4\u03c3\u03b9, \u03b7 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9:<\/p>\n

  <\/span>   <\/span>\"\[5x-5\cdot 3 -2 x-2\cdot 4=x-7\]\"<\/p>\n

  <\/span>   <\/span>\"\[5x-15-2x-8=x-7\]\"<\/p>\n

\u0392\u03ae\u03bc\u03b1 2: \u0391\u03bd\u03b1\u03b3\u03c9\u03b3\u03ae \u00a0\u03cc\u03bc\u03bf\u03b9\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd<\/b><\/b><\/p>\n

\u039c\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03ba\u03ac\u03bd\u03bf\u03c5\u03bc\u03b5 \u03b1\u03bd\u03b1\u03b3\u03c9\u03b3\u03ae \u03cc\u03bc\u03bf\u03b9\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd \u03c3\u03c4\u03bf \u03b1’ \u03bc\u03ad\u03bb\u03bf\u03c2 \u03ce\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03b1\u03c0\u03bb\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7.\u00a0\u0397 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9:<\/p>\n

  <\/span>   <\/span>\"\[3x-23=x-7\]\"<\/p>\n

\u0392\u03ae\u03bc\u03b1 3: \u03a7\u03c9\u03c1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03b3\u03bd\u03c9\u03c3\u03c4\u03bf\u03cd\u03c2 \u03b1\u03c0\u03cc \u03b1\u03b3\u03bd\u03ce\u03c3\u03c4\u03bf\u03c5\u03c2<\/b><\/b><\/p>\n

\u03b9\u03b1 \u03bd\u03b1 \u03bb\u03cd\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7, \u03bc\u03b5\u03c4\u03b1\u03c6\u03ad\u03c1\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2 \u03c0\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03ad\u03c7\u03bf\u03c5\u03bd \u03c4\u03bf\u03bd \u03ac\u03b3\u03bd\u03c9\u03c3\u03c4\u03bf \"x\" \u03c3\u03c4\u03bf \u03ad\u03bd\u03b1 \u03bc\u03ad\u03bb\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03bf\u03cd\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2 \u03c3\u03c4\u03bf \u03ac\u03bb\u03bb\u03bf \u03bc\u03ad\u03bb\u03bf\u03c2. \u0398\u03c5\u03bc\u03b7\u03b8\u03b5\u03af\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03cc\u03c4\u03b1\u03bd \u03ad\u03bd\u03b1\u03c2 \u03cc\u03c1\u03bf\u03c2 \u03bc\u03b5\u03c4\u03b1\u03c6\u03ad\u03c1\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03ad\u03bd\u03b1 \u03bc\u03ad\u03bb\u03bf\u03c2 \u03c3\u03c4\u03bf \u03ac\u03bb\u03bb\u03bf, \u03c4\u03bf \u03c0\u03c1\u03cc\u03c3\u03b7\u03bc\u03cc \u03c4\u03bf\u03c5 \u03b1\u03bb\u03bb\u03ac\u03b6\u03b5\u03b9.<\/p>\n

\u0397 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03c4\u03ce\u03c1\u03b1 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9:<\/p>\n

  <\/span>   <\/span>\"\[3x-x=-7+23\]\"<\/p>\n

\u0392\u03ae\u03bc\u03b1 4: \u0391\u03bd\u03b1\u03b3\u03c9\u03b3\u03ae \u00a0\u03cc\u03bc\u03bf\u03b9\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd<\/b><\/p>\n

\u039a\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u00a0\u03b1\u03bd\u03b1\u03b3\u03c9\u03b3\u03ae \u03cc\u03bc\u03bf\u03b9\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b1 2 \u03bc\u03ad\u03bb\u03b7, \u03b7 \u00a0\u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9:<\/p>\n

  <\/span>   <\/span>\"\[2x=26\]\"<\/p>\n

\u0392\u03ae\u03bc\u03b1 4: \u0394\u03b9\u03b1\u03b9\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ae \u03c4\u03bf\u03c5 \u03b1\u03b3\u03bd\u03ce\u03c3\u03c4\u03bf\u03c5.\u00a0<\/b><\/b><\/p>\n

\u03a4\u03ad\u03bb\u03bf\u03c2, \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b2\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03bf \"x\", \u03b4\u03b9\u03b1\u03b9\u03c1\u03bf\u03cd\u03bc\u03b5 \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03b4\u03cd\u03bf \u03bc\u03ad\u03bb\u03b7 \u00a0\u03c4\u03b7\u03c2 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u03c2 \u03bc\u03b5 \u03c4\u03bf 2:<\/p>\n

  <\/span>   <\/span>\"\[\dfrac{2x}{2}=\dfrac{26}{2}\]\"<\/p>\n

  <\/span>   <\/span>\"\[\dfrac{\cancel{2}x}{\cancel{2}}=13\]\"<\/p>\n

  <\/span>   <\/span>\"\[x=13\]\"<\/p>\n