Tentukan Penyelesaian SPLDV 3x - 2y = 12 dan 5x + y = 7

<p>Dik : persamaan 1 -&gt; 3x - 2y = 12</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; persamaan 2 -&gt; 5x + y = 7</p><p>Dit : penyelesaian?</p><p>Dij : menggunakan metode eliminasi dan substitusi</p><p>1) 3x - 2y = 12</p><p>&nbsp; &nbsp; &nbsp; 5x + y = 7</p><p>&nbsp; &nbsp; &nbsp; &nbsp;di sini kita mau menghilangkan si y supaya si x diketaui nilainya dengan cara persamaan dua dikali dengan 2</p><p>&nbsp; &nbsp; &nbsp; 3x - 2y = 12 &nbsp;(dikali 1)</p><p>&nbsp; &nbsp; &nbsp;10x + 2y = 14 (dikali 2)</p><p>&nbsp; &nbsp; &nbsp; --------------------------------(+) lalu kedua persamaan dijumlah</p><p>&nbsp; &nbsp; &nbsp; 13x = 26</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x = 26⁄13</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x = 2 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</p><p>jadi diketahui si x = 2, lalu nilai si x kita substitusi ke salah satu persamaan</p><p>2) 3x - 2y = 12</p><p>&nbsp; &nbsp; &nbsp;3(2) - 2y = 12</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 6 - 2y = 12 &nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; - 2y = 12 - 6</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; - 2y = 6</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;y = 6⁄-2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;y = -3</p><p>&nbsp;</p><p>Jadi, hasil dari penyelesaian SPLDV tersebut adalah x = 2 dan y = -3</p><p><br>Semoga membantu :)</p>