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Öncelikle üç denklem varsa yok etme metodu uygulanması gerektiği, ardından bilinmeyen sayısından daha az denklem varsa değer vererek işlem yapılması gerektiği anlatılmaktadır. Ayrıca, \"ax + by = c\" denkleminde her (a, b) ikilisi için sağlanıyorsa x ve y'nin sıfır olması gerektiği önemli bir kavram açıklanmaktadır. Video, örnek sorular üzerinden konuyu pekiştirmekte ve egzersiz çalışmalarıyla devam edeceğini belirtmektedir."]},"endTime":567,"title":"Üç Bilinmeyenli Denklemler Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Üç Bilinmeyenli Denklemlerde Yok Etme Metodu","list":{"type":"unordered","items":["Üç bilinmeyenli denklemlerde üç denklem varsa yok etme metodu uygulanır.","Örnek olarak x+2y+z=5, 2x+4y+3z=12, x+3y+z=5 denklemleri verilmiş ve z=2 olarak bulunmuştur.","Z değeri bulunduktan sonra x=-5 olarak hesaplanmıştır."]},"beginTime":1,"endTime":205,"href":"/video/preview/5983420017805878417?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=1&ask_summarization=1"},{"index":1,"title":"Bilinmeyen Sayısından Daha Az Denklem Varlığında İşlem","list":{"type":"unordered","items":["Bilinmeyen sayısından daha az denklem varsa değer vererek işlem yapılır.","Örnek olarak 2x+3y+z=10 ve 4x+6y+3z=15 denklemleri verilmiş, z=-1 olarak bulunmuştur.","Bilinmeyen sayısından daha az denklem varsa, denklemleri yok ederek veya değer vererek çözebiliriz."]},"beginTime":205,"endTime":351,"href":"/video/preview/5983420017805878417?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=205&ask_summarization=1"},{"index":2,"title":"Her İşareti İçin Denklem Çözümü","list":{"type":"unordered","items":["ax+by=0 denkleminde her (a,b) ikilisi için sağlanıyorsa, x ve y sıfır olmalıdır.","Örnek olarak ax+y+11=0 ve bx+y+7=0 denklemleri verilmiş, x=-9 ve y=2 olarak bulunmuştur.","x×y çarpımı -18 olarak hesaplanmıştır."]},"beginTime":351,"endTime":567,"href":"/video/preview/5983420017805878417?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=351&ask_summarization=1"}],"linkTemplate":"/video/preview/5983420017805878417?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"ALES Matematik - 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İlk örnek, öğrencilerin üçerli veya dörderli oturmasıyla ilgili bir problemi, ikinci örnek ise sınıfa beş öğrenci geldiğinde oluşan durumu ele almaktadır. Her iki soruda da eğitmen, bilinmeyenleri tanımlayarak ve denklemleri kurarak çözüm yöntemlerini adım adım göstermektedir."]},"endTime":492,"title":"Sınıf Mevcudu Soruları Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Sıra Sorularında Sınıf Mevcudu Hesaplama","list":{"type":"unordered","items":["Birinci sınıftaki öğrenciler sıralara üçerli otururlarsa yedi kişi ayakta kalıyor, dörderli otururlarsa bir sıra boş kalıyor.","Sıra sorularında sınıf mevcudu hesaplamak için sıra sayısı (x) ile çarpma işlemi yapılır, ayakta kalan kişi sayısı eklenir ve boş kalan sıra sayısı çıkarılır.","İlk örnekte x=11 olarak bulunmuş ve sınıf mevcudu 3x+7=40 olarak hesaplanmıştır."]},"beginTime":0,"endTime":180,"href":"/video/preview/11531386665930881847?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=0&ask_summarization=1"},{"index":1,"title":"İkinci Sıra Sorusu","list":{"type":"unordered","items":["Birinci sınıftaki öğrenciler sıralara üçerli otururlarsa iki öğrenci ayakta kalıyor, beş öğrenci geldiğinde dörderli otururlarsa bir sırada iki öğrenci oturmuş oluyor.","İkinci örnekte x=9 olarak bulunmuş ve sınıf mevcudu 3x+2=29 olarak hesaplanmıştır.","Sıra sorularında, bir sırada eksik öğrenci sayısı eksi olarak yazılır, örneğin bir sırada üç kişi eksikse -3 yazılır."]},"beginTime":180,"endTime":489,"href":"/video/preview/11531386665930881847?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=180&ask_summarization=1"}],"linkTemplate":"/video/preview/11531386665930881847?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"ALES Matematik - Sıra Soruları Örnek Sorular","related_orig_text":"Görsel Akademi","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Görsel Akademi\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=1qM72xWWJw4\",\"src\":\"serp\",\"rvb\":\"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-_gEI-wUAA_b7CAYI_ALuBQUG-___AO4E_PkFAAAA9vEJ_P4AAAAA_wIE_gAAAPj9BgP8_wAADwH4_AQAAAAC-wgD-AAAAAIA-P73_P0D-A4ABAMAAAAOAAj7_wAAAAEF_Qb5_wABAwD6_wAAAAD06_gFAAAAACAALXmg4js4E0AJSE5QAiqEAhAAGvABb-sMAIEh9_lX_uoASCHnALMJ_wAxFvMA0wrsAMQb8QDxBwQA7wPxAOfxBwD_7Cv_NRPzAA7eBAAF8Qv_9CIFAe0aFgBI0fcBNQD9AA0B5_-07w7_E_3_AADr_wECFOsD5g4O-Svs2gAEJw4BGPsOAzIPFgPV__P_8w3-A_Aq-wYI6e3_E_chAv_5BAXOCw4C7f3zBenz9_nnEvwFBgn6_xXN8vs4BeMBAQTqA_8C3AADJPr7BtIG9ioSDAIJBfgB9gb1_xMX_vsP_A796wMM9wUKCu_3BAAHHQPqBe_U9QLz3_oICw35__v0_Q3o8gQEIAAt8QUtOzgTQAlIYVACKnMQABpgYeMAA-wCHOXa5OwkACgLzLrd1_PT-_8Ryv_8IbflKUPI__4wAD8O5N2cAAAAR73nFjcAEX-IyQDh-icMtrrz-AZ1-RA_pNwRA7_sAPLu7QPMtAYpAOQCnB0q7okIP0gIIAAt0aANOzgTQAlIb1ACMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=1qM72xWWJw4","parent-reqid":"1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["11531386665930881847"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"1765392443073870965":{"videoId":"1765392443073870965","docid":"34-2-17-Z6BD61EA9AFEEC2F6","description":"Görsel Akademi Eğitim Setlerine (Reklamsız) FULL Erişim için → https://bit.ly/gorsel-akademi-youtube... 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İkinci problemde Tuna'nın merdiven basamaklarını üçer çıkıp dörder inerken attığı toplam adım sayısı üzerinden merdivenin basamak sayısı hesaplanmaktadır. Son problemde ise Arın ve Emir'in aynı merdiven basamaklarını farklı şekillerde çıkarken attığı toplam adım sayısı üzerinden merdivenin basamak sayısı bulunmaktadır. Her problem için adım adım çözüm yöntemi gösterilmektedir."]},"endTime":609,"title":"Matematik Dersinde Merdiven Basamakları Problemleri","beginTime":0}],"fullResult":[{"index":0,"title":"Merdiven Basamakları Problemi","list":{"type":"unordered","items":["Bir merdivenin basamaklarını ikişer çıkıp üçer inen birinin çıkarken attığı adım sayısı, inerken attığı adım sayısından onsekiz fazladır.","Merdivenin basamak sayısı x olarak belirlendiğinde, çıkarken x/2, inerken x/3 adım atıldığı hesaplanır.","Denklem çözülerek merdivenin basamak sayısı 108 olarak bulunur."]},"beginTime":0,"endTime":196,"href":"/video/preview/1765392443073870965?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=0&ask_summarization=1"},{"index":1,"title":"İkinci Merdiven Basamakları Problemi","list":{"type":"unordered","items":["Tuna, merdivenin basamaklarını üçer çıkıp dörder inen ve inerken ve çıkarken toplam ondört adım atmıştır.","Tuna aynı merdivenleri ikişer çıkmış olsaydı kaç adım atmış olurdu sorusu sorulmuştur.","Denklem çözülerek merdivenin basamak sayısı 24 olarak bulunur ve Tuna ikişer çıkmış olsaydı 12 adım atmış olurdu."]},"beginTime":196,"endTime":343,"href":"/video/preview/1765392443073870965?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=196&ask_summarization=1"},{"index":2,"title":"Üçüncü Merdiven Basamakları Problemi","list":{"type":"unordered","items":["Arın bir merdivenin basamaklarına üçer çıkıp bir'er iniyor, son adımda iki çıkıyor.","Emir ise aynı merdivenin basamaklarını dörder inip iki'şer çıkıyor, son adımda iki iniyor.","Arın ve Emir'in attığı toplam yetmişiki adımsa merdivenin basamak sayısı 37 olarak bulunur."]},"beginTime":343,"endTime":606,"href":"/video/preview/1765392443073870965?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=343&ask_summarization=1"}],"linkTemplate":"/video/preview/1765392443073870965?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"ALES Matematik - Basamak Sayısı Örnek Sorular","related_orig_text":"Görsel Akademi","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Görsel Akademi\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=wRg-KLUTT9o\",\"src\":\"serp\",\"rvb\":\"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_E-EEggQkAYAEKyqLARABGniB8P0KAP4CAAbzCAIECP0C8AT8Cfn-_gDx-vMD-AH_AAHxBP_6AAAA8wP7BwEAAADy-gEG_QAAABj8-QADAAAAAPz-BvkAAAACAPj99vz9A_4PA_oCAAAAC_8N8_8AAAAJDf4EAQEAAAwI-PwBAAAA-OL7_AEAAAAgAC3oDdc7OBNACUhOUAIqhAIQABrwAXfeHAGBB-r3OPH0AFUE_P_ZGvwAIRHpALD29ADB9vcA8PMCAPYE5ADb-PgA_-0q_wMU9P_88PkA--oZAAoOEgALBhMARdP3ATQRA_8UA_X_yPkT_hT5DQAK-QcC-BDm_-4CE_0h9esAHRoIAgTyAQEgGhwE0-_oAuUe9ADeHewA-PrR_iEHCwT_ABEA3gL8BvPz9f72Bt0A8iEPAxYBBAQe9_T9NQXkAQwF9AUa_Pf5CzD3AAu8CP8qFiEICQ3v_-wT8QESFv77GQUO-uf4BfkH8PT0-AQABxAD7vv29vz-9PL4CvkK8frwCO4F7f7vAyAALeuaNDs4E0AJSGFQAipzEAAaYFTpACrfEAPHz-DsM-M0GcnR5Lzmz___DOL_-zja6BYzuufvFwAxFeHGmwAAADDE3xxPAAt9gcr-7AMsHY-69_IEc_UjOK3VHw3I_gPb7_bpDqQLCwAN-5gFPwCkDTcdCSAALR1TDTs4E0AJSG9QAjAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=wRg-KLUTT9o","parent-reqid":"1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["1765392443073870965"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"14966259131405952928":{"videoId":"14966259131405952928","docid":"34-3-10-Z502C6920BFABDCC9","description":"Görsel Akademi Eğitim Setlerine (Reklamsız) FULL Erişim için → https://bit.ly/gorsel-akademi-youtube... 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Eğitmen önce Emir adlı bir kişinin beş adım ileri iki adım geri giderek yol aldığı problemi çözmekte, ardından Arın adlı bir kişinin üç geri bir ileri dört geri adım attığı problemi ve son olarak Mehter takımı için dört adım ileri iki adım geri giden bir problemi çözmektedir. Her problemde, adımların periyotlara bölünmesi ve kalanların ilk hamleye göre değerlendirilmesi gerektiği vurgulanmaktadır. Eğitmen, doğru orantı yönteminin bu tür problemlerde kullanılmaması gerektiğini özellikle belirtmektedir."]},"endTime":583,"title":"Adım Problemleri Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Adım Problemleri Çözüm Yöntemi","list":{"type":"unordered","items":["Emir bir yolu beş adım ileri, iki adım geri giderek yol alıyor ve yüz adım attığında bulunduğu noktadan kaç adım uzaklaşır sorusu inceleniyor.","Beş ileri iki geri giden bir kişi aslında üç ilerlemiş olur ama yedi adımda üç ilerler, bu bir doğru orantı sorusu değildir.","Yüz adımı yedi adımlık periyotlara böldüğümüzde ondört periyot elde edilir, her periyotta üç gittiğimiz için kırkiki adım ilerler ve kalan iki adım ileri şeklinde ilerler, toplam kırkdört adım uzağa gitmiş olur."]},"beginTime":0,"endTime":189,"href":"/video/preview/6246107994802046219?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=0&ask_summarization=1"},{"index":1,"title":"İkinci Adım Problemi","list":{"type":"unordered","items":["Arın üç geri, bir ileri, dört geri şeklinde adım atmaktadır ve toplam ellidört adım atan Arın başlangıçta başladığı noktadan kaç adım uzağa gitmiş olur sorusu inceleniyor.","Sekiz adımdaki gittiği mesafe yedi geri, bir ileri şeklinde ise altı geri yani eksi altı ileri demektir.","Ellidört adımı sekiz adımlık periyotlara böldüğümüzde altı periyot elde edilir, her periyotta altı geri gittiğimiz için eksi otuzaltı adım ilerler ve kalan altı adım ilk hamleye göre değerlendirilir, toplam kırk adım geri gitmiş olur."]},"beginTime":189,"endTime":441,"href":"/video/preview/6246107994802046219?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=189&ask_summarization=1"},{"index":2,"title":"Üçüncü Adım Problemi","list":{"type":"unordered","items":["Mehter takımı dört adım ileri, iki adım geri giderek hareket etmektedir ve elli adım attığında başladığı noktadan kaç adım uzağa gider sorusu inceleniyor.","Altı adımlık periyotta her periyotta iki ilerlediği için artı iki adım ilerler.","Elli adımı altı adımlık periyotlara böldüğümüzde sekiz periyot elde edilir, her altı adımlık periyotta iki ilerlediği için onsekiz adım ilerler ve kalan iki adım ileri şeklinde ilerler, toplam onsekiz adım uzaklaşmış olur."]},"beginTime":441,"endTime":582,"href":"/video/preview/6246107994802046219?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=441&ask_summarization=1"}],"linkTemplate":"/video/preview/6246107994802046219?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"ALES Matematik - 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Öğretmen önce \"Emir'in parasıyla kalem ve defter alması\" problemi üzerinden çözüm yöntemini açıklar, ardından \"kutuya sığan bilye, tornavida ve makas\" problemi ve son olarak \"A ve B ilçelerindeki kişi sayılarının eşit olması\" problemi üzerinden konuyu pekiştirir. Her problem için miktarların nasıl ifade edileceği ve denklemlerin nasıl kurulacağı detaylı olarak anlatılmaktadır."]},"endTime":562,"title":"Matematik Dersinde Miktar Problemleri Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"Miktar Problemleri Çözümü","list":{"type":"unordered","items":["Emir'in parasıyla üç kalem ve dört defter veya beş kalem ve üç defter alabildiği bir problem çözülüyor.","Miktar sorularında adet sorusu değil, bir para miktarı veya mal miktarı gibi sorular ele alınıyor.","Defterin kalem cinsinden iki kaleme tekabül ettiği bulunarak, Emir'in tüm parasıyla on bir kalem alabileceği hesaplanıyor."]},"beginTime":0,"endTime":159,"href":"/video/preview/16352263190508349314?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=0&ask_summarization=1"},{"index":1,"title":"Kutu Hacmi Problemi","list":{"type":"unordered","items":["Bir kutuya on üç bilye, otuz iki tornavida ve on altı makas sığabildiği, aynı kutuya yirmi bilye, yirmi sekiz tornavida ve on dört makas sığabildiği bir problem çözülüyor.","Kutunun hacmi bilye cinsinden ifade edilerek, yedi bilyeye tekabül ettiği bulunuyor.","Kutunun hacmi hesaplanarak, kutunun içerisine altmış dokuz tane bilye sığabileceği sonucuna varılıyor."]},"beginTime":159,"endTime":404,"href":"/video/preview/16352263190508349314?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=159&ask_summarization=1"},{"index":2,"title":"Göç Problemi","list":{"type":"unordered","items":["A ilçesinde bin iki yüz kişi, B ilçesinde sekiz yüz kişi yaşamakta ve her iki ilçede de her yıl on kişi göç etmekte/almaktadır.","Miktar ifadesi belirlenerek, A ilçesinden her yıl on kişi kaybedilirken B ilçesinden her yıl on kişi alındığı hesaplanıyor.","İki yıl sonra ilçelerdeki kişi sayılarının birbirine eşit olacağı sonucuna varılıyor."]},"beginTime":404,"endTime":555,"href":"/video/preview/16352263190508349314?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=404&ask_summarization=1"}],"linkTemplate":"/video/preview/16352263190508349314?channelId=d3d3LnlvdXR1YmUuY29tO1VDdEpkRFRXaVFpeXlOenIwNE5idEpsQQ%3D%3D&how=tm&parent-reqid=1754602230825870-10418674897171877876-balancer-l7leveler-kubr-yp-sas-228-BAL&text=G%C3%B6rsel+Akademi&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"ALES Matematik - 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Eğitmen, hediyeleşme problemlerinde n çarpı n eksi bir, tokalaşma problemlerinde ise n çarpı n eksi bir bölü iki formülünün kullanıldığını açıklamaktadır. 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