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Path: ...!weretis.net!feeder9.news.weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp Message-ID: <IXbjRVWMQ4hyDFzcsj9r2gdt430@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: Exercice pour les jeunes References: <oTvMqhtd9vcuvoHNI2WwKPvcp7Y@jntp> <v3ruh3$6f1$1@rasp.pasdenom.info> Newsgroups: fr.sci.maths JNTP-HashClient: PMSPj94KZGC6PLi0JcXMEa1UwkQ JNTP-ThreadID: rDl1Adg62MuZANqpdanoUhxUjKg JNTP-Uri: http://news2.nemoweb.net/?DataID=IXbjRVWMQ4hyDFzcsj9r2gdt430@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Thu, 06 Jun 24 14:09:41 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/125.0.0.0 Safari/537.36 Injection-Info: news2.nemoweb.net; posting-host="e8cbf2474b472b9bb79db3dccb6a856bc1d05409"; logging-data="2024-06-06T14:09:41Z/8889843"; posting-account="4@news2.nemoweb.net"; mail-complaints-to="julien.arlandis@gmail.com" JNTP-ProtocolVersion: 0.21.1 JNTP-Server: PhpNemoServer/0.94.5 MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit X-JNTP-JsonNewsGateway: 0.96 From: Richard Hachel <richard.hachel@invalid.fr> Bytes: 2112 Lines: 46 Le 06/06/2024 à 11:12, kurtz le pirate a écrit : > On 01/06/2024 14:22, Richard Hachel wrote: >> On pose : >> 3x+y=13 >> x+3y=15 >> >> Baccalauréat S : Toulon, cession de septembre 2023. >> >> J'ai essayé comme ceci: >> 3x+y=13 >> z=13 >> Z=3x-2y+2y+3y >> >> Z=9x+4-2y+(-6x+6x) >> >> Z=8+a²-2ab+b² >> d'où x=2 et y=1. > > Au plus simple : > > | 3 1 | | 13 1 | | 3 13 | > d = | | = 8, dx = | | = 24, dy = | | = 32 > | 1 3 | | 15 3 | | 1 15 | > > dx dy > x = -- = 3, y = -- = 4 > d d > > Oh dis donc, héé!!! Comment tu fais tout ça? Et après? Et avec : 2x+3y=19 5x+y=15 Ca marche aussi? Tu fais : d = a + b + a'+ b' C'est facile, ça... R.H.