https://mathresearch.utsa.edu/wiki/index.php?action=history&feed=atom&title=Solving_Systems_with_Inverses 2026-06-05T08:25:24Z Revision history for this page on the wiki MediaWiki 1.34.1 https://mathresearch.utsa.edu/wiki/index.php?title=Solving_Systems_with_Inverses&diff=3313&oldid=prev 2021-10-31T19:54:32Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 19:54, 31 October 2021</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l159" >Line 159:</td> <td colspan="2" class="diff-lineno">Line 159:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; 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>* [https://mathresearch.utsa.edu/wikiFiles/MAT1053/Solving_Systems_with_Inverses/MAT1053_M10.2Solving_Systems_with_Inverses.pdf Solving Systems with Inverses], Book Chapter</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; 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>* [https://mathresearch.utsa.edu/wikiFiles/MAT1053/Solving_Systems_with_Inverses/MAT1053_M10.2Solving_Systems_with_Inverses.pdf Solving Systems with Inverses], Book Chapter</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; 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>* [https://mathresearch.utsa.edu/wikiFiles/MAT1053/Solving_Systems_with_Inverses/MAT1053_M10.2Solving_Systems_with_InversesGN.pdf Guided Notes]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; 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>* [https://mathresearch.utsa.edu/wikiFiles/MAT1053/Solving_Systems_with_Inverses/MAT1053_M10.2Solving_Systems_with_InversesGN.pdf Guided Notes]</div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; 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"> </td><td class='diff-marker'>+</td><td style="color: #222; 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;">== Licensing == </ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; 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;">Content obtained and/or adapted from:</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; 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;">* [https://en.wikipedia.org/wiki/System_of_linear_equations System of linear equations, Wikipedia] under a CC BY-SA license</ins></div></td></tr> </table>

Khanh https://mathresearch.utsa.edu/wiki/index.php?title=Solving_Systems_with_Inverses&diff=2325&oldid=prev 2021-10-15T00:29:27Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 00:29, 15 October 2021</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l35" >Line 35:</td> <td colspan="2" class="diff-lineno">Line 35:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; 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>2x &amp;&amp;\; + \;&amp;&amp; 4y &amp;&amp;\; + \;&amp;&amp; 3z &amp;&amp;\; = \;&amp;&amp; 8 &amp;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; 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>2x &amp;&amp;\; + \;&amp;&amp; 4y &amp;&amp;\; + \;&amp;&amp; 3z &amp;&amp;\; = \;&amp;&amp; 8 &amp;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; 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>\end{alignat}&lt;/math&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; 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>\end{alignat}&lt;/math&gt;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Solving the first equation for ''x'' gives <del class="diffchange diffchange-inline">{{nowrap|</del>''x'' <del class="diffchange diffchange-inline">{{</del>=<del class="diffchange diffchange-inline">}} </del>5 + 2''z'' &amp;minus; 3''y''<del class="diffchange diffchange-inline">}}</del>, and plugging this into the second and third equation yields</div></td><td class='diff-marker'>+</td><td style="color: #222; 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>Solving the first equation for ''x'' gives ''x'' = 5 + 2''z'' &amp;minus; 3''y'', and plugging this into the second and third equation yields</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; 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>:&lt;math&gt;\begin{alignat}{5}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; 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>:&lt;math&gt;\begin{alignat}{5}</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; 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>-4y &amp;&amp;\; + \;&amp;&amp; 12z &amp;&amp;\; = \;&amp;&amp; -8 &amp; \\</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; 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>-4y &amp;&amp;\; + \;&amp;&amp; 12z &amp;&amp;\; = \;&amp;&amp; -8 &amp; \\</div></td></tr> </table>

Khanh https://mathresearch.utsa.edu/wiki/index.php?title=Solving_Systems_with_Inverses&diff=2324&oldid=prev 2021-10-15T00:28:43Z

<p></p> <a href="https://mathresearch.utsa.edu/wiki/index.php?title=Solving_Systems_with_Inverses&amp;diff=2324&amp;oldid=580">Show changes</a>

Khanh https://mathresearch.utsa.edu/wiki/index.php?title=Solving_Systems_with_Inverses&diff=580&oldid=prev 2020-08-17T15:08:55Z

<p>Added Links to materials</p> <p><b>New page</b></p><div>* [https://mathresearch.utsa.edu/wikiFiles/MAT1053/Solving_Systems_with_Inverses/MAT1053_M10.2Solving_Systems_with_Inverses.pdf Solving Systems with Inverses], Book Chapter<br /> * [https://mathresearch.utsa.edu/wikiFiles/MAT1053/Solving_Systems_with_Inverses/MAT1053_M10.2Solving_Systems_with_InversesGN.pdf Guided Notes]</div>

Johnraymond.yanez