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Das Gleichsetzungsverfahren - Versionsgeschichte
2026-07-25T02:29:20Z
Versionsgeschichte dieser Seite in Geometrie-Wiki
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http://geometrie.idea-sketch.com/index.php?title=Das_Gleichsetzungsverfahren&diff=31260&oldid=prev
*m.g.* am 3. Mai 2018 um 14:24 Uhr
2018-05-03T14:24:10Z
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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, 14:24 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;">| valign="top" |</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;"><!--- hier drüber nichts eintragen ---></ins></div></td></tr>
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<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><math></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><math></div></td></tr>
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<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><iframe scrolling="no" title="zweiGleichungenzweiUnbekannte" src="https://www.geogebra.org/material/iframe/id/PHeftBZn/width/839/height/522/border/888888/smb/false/stb/false/stbh/false/ai/false/asb/false/sri/false/rc/false/ld/false/sdz/false/ctl/false" width="839px" height="522px" style="border:0px;"> </iframe></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><iframe scrolling="no" title="zweiGleichungenzweiUnbekannte" src="https://www.geogebra.org/material/iframe/id/PHeftBZn/width/839/height/522/border/888888/smb/false/stb/false/stbh/false/ai/false/asb/false/sri/false/rc/false/ld/false/sdz/false/ctl/false" width="839px" height="522px" style="border:0px;"> </iframe></div></td></tr>
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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;"></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;"><!--- hier drunter nichts eintragen ---></ins></div></td></tr>
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*m.g.*
http://geometrie.idea-sketch.com/index.php?title=Das_Gleichsetzungsverfahren&diff=31256&oldid=prev
*m.g.*: Die Seite wurde neu angelegt: „<math> \begin{align} 4x - 5y &=13 \\ 3x +4y &=3 \end{align} </math><br /> <br />Wir stellen beide Gleichungen nach <math>y</math> um:<br /> <math> \begin{ali…“
2018-05-03T14:19:37Z
<p>Die Seite wurde neu angelegt: „<math> \begin{align} 4x - 5y &=13 \\ 3x +4y &=3 \end{align} </math><br /> <br />Wir stellen beide Gleichungen nach <math>y</math> um:<br /> <math> \begin{ali…“</p>
<p><b>Neue Seite</b></p><div><math><br />
\begin{align}<br />
4x - 5y &=13 \\<br />
3x +4y &=3<br />
\end{align}<br />
</math><br /><br />
<br />
<br />Wir stellen beide Gleichungen nach <math>y</math> um:<br /><br />
<math><br />
\begin{align}<br />
y &=& \frac{4}{5}x &- &\frac{13}{5} \\<br />
y &=& -\frac{3}{4}x &+ &\frac{3}{4}<br />
\end{align}<br />
</math><br />
<br /><br />
Gleichsetzen der rechten Seiten: <br /><br />
<br />
<math><br />
\frac{4}{5}x - \frac{13}{5} = \frac{3}{4}x + \frac{3}{4}<br />
</math><br /><br />
Vereinfachen:<br /><br />
<math>x=\frac{67}{31}</math><br /><br />
<math>\begin{align}<br />
y &=& \frac{4}{5}x &- &\frac{13}{5} \\<br />
y &=& \frac{4}{5}\frac{67}{31} &- &\frac{13}{5} \\<br />
y &=& -\frac{27}{31}<br />
\end{align}</math><br />
<br />
<iframe scrolling="no" title="zweiGleichungenzweiUnbekannte" src="https://www.geogebra.org/material/iframe/id/PHeftBZn/width/839/height/522/border/888888/smb/false/stb/false/stbh/false/ai/false/asb/false/sri/false/rc/false/ld/false/sdz/false/ctl/false" width="839px" height="522px" style="border:0px;"> </iframe></div>
*m.g.*