Tentukan himpunan penyelesaian SPLDV: 2x + 3y = 6 dan x - y = 3, dengan menggunakan metode eliminasi!

<p>Jawaban yang tepat :</p><p>Himpunan Penyelesaian adalah {3,0}</p><p>&nbsp;</p><p>Pembahasan :</p><p>2x + 3y = 6 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;...(1)</p><p>x - y = 3 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;...(2)</p><p>&nbsp;</p><p>Eliminasi y untuk mendapatkan nilai x</p><p>2x + 3y = 6 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;--&gt; 2x + 3y = 6</p><p>x - y = 3 &nbsp; (dikali 3) --&gt; <u>3x - 3y &nbsp;= 9&nbsp;</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; 5x &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 15</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;x = 3</p><p>&nbsp;</p><p>Eliminasi x untuk mendapatkan nilai y</p><p>2x + 3y = 6 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;--&gt; 2x + 3y = 6</p><p>x - y = 3 &nbsp; (dikali 2) --&gt; 2<u>x - 2y &nbsp;= 6&nbsp;</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;5y &nbsp; = 0</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;y = 0</p><p>Himpunan Penyelesaian adalah {3,0}</p>