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Das Additionsverfahren - Versionsgeschichte
2026-07-07T08:01:01Z
Versionsgeschichte dieser Seite in Geometrie-Wiki
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https://geometrie.idea-sketch.com/index.php?title=Das_Additionsverfahren&diff=31261&oldid=prev
*m.g.* am 3. Mai 2018 um 14:25 Uhr
2018-05-03T14:25:05Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Nächstältere Version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Version vom 3. Mai 2018, 14:25 Uhr</td>
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<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><!--- hier drüber nichts eintragen ---></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>====Äquivalenzumformungen für Lineare Gleichungssysteme====</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>====Äquivalenzumformungen für Lineare Gleichungssysteme====</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Vertauschen zweier Gleichungen</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Vertauschen zweier Gleichungen</div></td></tr>
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*m.g.*
https://geometrie.idea-sketch.com/index.php?title=Das_Additionsverfahren&diff=31258&oldid=prev
*m.g.*: Die Seite wurde neu angelegt: „====Äquivalenzumformungen für Lineare Gleichungssysteme==== * Vertauschen zweier Gleichungen * Multiplikation einer Gleichung mit einer reellen Zahl <math>r,…“
2018-05-03T14:20:46Z
<p>Die Seite wurde neu angelegt: „====Äquivalenzumformungen für Lineare Gleichungssysteme==== * Vertauschen zweier Gleichungen * Multiplikation einer Gleichung mit einer reellen Zahl <math>r,…“</p>
<p><b>Neue Seite</b></p><div>====Äquivalenzumformungen für Lineare Gleichungssysteme====<br />
* Vertauschen zweier Gleichungen<br />
* Multiplikation einer Gleichung mit einer reellen Zahl <math>r, r \not = 0</math><br />
* Addition zweier Gleichungen<br />
====Beispiel 1====<br />
<math>\begin{align}<br />
\text{(I)} && 5x + 7y &= 4 && \\<br />
\text{(II)} && 3x + 11y &= 1 && \\<br />
\hline<br />
\text{(I)} && 5x + 7y &= 4 && \vert : 5\\<br />
\text{(II)} && 3x + 11y &= 1 && \\<br />
\hline<br />
\text{(I')} && 1x + \frac{7}{5}y &= \frac{4}{5} && \\<br />
\text{(II)} && 3x + 11y &= 1 && \\<br />
\hline<br />
\text{(I')} && 1x + \frac{7}{5}y &= \frac{4}{5} && \\<br />
\text{(II-3I')} && \frac{34}{5}y &=-\frac{7}{5} && \\<br />
\hline<br />
\text{(I')} && 1x + \frac{7}{5}y &= \frac{4}{5} && \\<br />
\text{(II')} && y &= -\frac{7}{34} && \\<br />
\hline<br />
\text{(I')}\cdot -\frac{7}{5}\text{(II')} && x ~~~ &= \frac{37}{34} && \\<br />
\text{(II')} && y &= -\frac{7}{34} && \\<br />
\hline<br />
<br />
\end{align}</math><br />
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<iframe scrolling="no" title="Beispiel01" src="https://www.geogebra.org/material/iframe/id/sNHCfFDn/width/1000/height/726/border/888888/smb/false/stb/false/stbh/false/ai/false/asb/false/sri/false/rc/false/ld/false/sdz/false/ctl/false" width="1000px" height="726px" style="border:0px;"> </iframe></div>
*m.g.*