<p>Tentukan solusi dari sistem persamaan linear berikut menggunakan metode eliminasi Gauss:</p><p><span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mtable rowspacing="0.25em" columnalign="right left" columnspacing="0em"><mtr><mtd><mstyle scriptlevel="0" displaystyle="true"><mrow><mn>2</mn><mi>x</mi><mo>+</mo><mn>3</mn><mi>y</mi><mo>−</mo><mi>z</mi></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="true"><mrow><mrow></mrow><mo>=</mo><mn>5</mn></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="true"><mrow><mn>4</mn><mi>x</mi><mo>−</mo><mi>y</mi><mo>+</mo><mn>2</mn><mi>z</mi></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="true"><mrow><mrow></mrow><mo>=</mo><mn>6</mn></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="true"><mrow><mo>−</mo><mi>x</mi><mo>+</mo><mn>2</mn><mi>y</mi><mo>+</mo><mn>3</mn><mi>z</mi></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="true"><mrow><mrow></mrow><mo>=</mo><mo>−</mo><mn>1</mn></mrow></mstyle></mtd></mtr></mtable><annotation encoding="application/x-tex">\begin{aligned}
2x + 3y - z &amp;= 5 \\
4x - y + 2z &amp;= 6 \\
-x + 2y + 3z &amp;= -1
\end{aligned}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut"></span><span class="mord"><span class="mtable"><span class="col-align-r"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span class="pstrut"></span><span class="mord"><span class="mord">2</span><span class="mord mathnormal">x</span><span class="mspace"></span><span class="mbin">+</span><span class="mspace"></span><span class="mord">3</span><span class="mord mathnormal">y</span><span class="mspace"></span><span class="mbin">−</span><span class="mspace"></span><span class="mord mathnormal">z</span></span><span class="pstrut"></span><span class="mord"><span class="mord">4</span><span class="mord mathnormal">x</span><span class="mspace"></span><span class="mbin">−</span><span class="mspace"></span><span class="mord mathnormal">y</span><span class="mspace"></span><span class="mbin">+</span><span class="mspace"></span><span class="mord">2</span><span class="mord mathnormal">z</span></span><span class="pstrut"></span><span class="mord"><span class="mord">−</span><span class="mord mathnormal">x</span><span class="mspace"></span><span class="mbin">+</span><span class="mspace"></span><span class="mord">2</span><span class="mord mathnormal">y</span><span class="mspace"></span><span class="mbin">+</span><span class="mspace"></span><span class="mord">3</span><span class="mord mathnormal">z</span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist"></span></span></span></span><span class="col-align-l"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span class="pstrut"></span><span class="mord"><span class="mord"></span><span class="mspace"></span><span class="mrel">=</span><span class="mspace"></span><span class="mord">5</span></span><span class="pstrut"></span><span class="mord"><span class="mord"></span><span class="mspace"></span><span class="mrel">=</span><span class="mspace"></span><span class="mord">6</span></span><span class="pstrut"></span><span class="mord"><span class="mord"></span><span class="mspace"></span><span class="mrel">=</span><span class="mspace"></span><span class="mord">−</span><span class="mord">1</span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist"></span></span></span></span></span></span></span></span></span></span><br></p>