Tentukan himpunan penyelesaian dari x=2y dan -2x -5y=-9 dengan metode eliminasi?

<p>Jawaban yang tepat adalah &nbsp;{(2,1)}</p><p>&nbsp;</p><p>Pembahasan :</p><p>x = 2y</p><p>x - 2y = 0 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;(1)</p><p>-2x &nbsp;- 5y = -9 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;(2)</p><p>&nbsp;</p><p>Eliminasi variabel x untuk mendapatkan nilai y</p><p>x - 2y = 0 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;(dikali 2) --&gt; 2x - 4y = 0</p><p>-2x &nbsp;- 5y = -9 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;--&gt; <u>-2x &nbsp;- 5y = -9</u> +</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; -9y = -9</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; y = 1</p><p>&nbsp;</p><p>Eliminasi variabel y untuk mendapatkan nilai x</p><p>x - 2y = 0 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;(dikali 5) --&gt; 5x - 10y = 0</p><p>-2x &nbsp;- 5y = -9 &nbsp; &nbsp; &nbsp; (dikali 2) --&gt; <u>-4x - 10y = -18</u> _</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;9x = 18</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x = 2</p><p>Jadi Himpunan penyelesaian adalah {(2,1)}</p><p>&nbsp;</p>