tentukan himpunan penyelesaian persamaan 3x + y = 5 dan 2x + 3y = 8 metode eliminasi..

<p>Jawaban yang benar adalah x = 1 dan y = 2</p><p>&nbsp;</p><p>Pembahasan :</p><p>3x + y = 5 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;(1)</p><p>2x + 3y = 8 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;(2)</p><p>&nbsp;</p><p>Eliminasi variabel y untuk mendapatkan nilai x</p><p>3x + y = 5 &nbsp; &nbsp; &nbsp; &nbsp; (dikali 3) --&gt; 9x + 3y = 15</p><p>2x + 3y = 8 &nbsp; &nbsp; &nbsp; (dikali 1) --&gt; <u>2x + 3y = 8 &nbsp;&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; &nbsp; 7x &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 7</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;x = 1</p><p>Eliminasi variabel x untuk mendapatkan nilai y</p><p>3x + y = 5 &nbsp; &nbsp; &nbsp; &nbsp; (dikali 2) --&gt; 6x + 2y = 10</p><p>2x + 3y = 8 &nbsp; &nbsp; &nbsp; (dikali 3) --&gt; 6<u>x + 9y = 24 &nbsp;&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; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; -7y = -14</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; &nbsp;y = 2</p><p>Jadi, Penyelesaiannya adalah x = 1 dan y = 2</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;</p>