2x + 2y = 3 3x + 1y = 10

<p>Jawaban yang tepat adalah {(17/4, -11/4)}</p><p>&nbsp;</p><p>Pembahasan :</p><p>2x + 2y = 3 &nbsp; &nbsp; &nbsp; (1)</p><p>3x + 1y = 10 &nbsp; &nbsp; (2)</p><p>&nbsp;</p><p>Eliminasi variabel y</p><p>2x + 2y = 3 &nbsp; &nbsp; &nbsp; (dikali 1) &nbsp;--&gt; 2x + 2y = 3&nbsp;</p><p>3x + 1y = 10 &nbsp; &nbsp; (dikali 2) --&gt;<u> 6x + 2y = 20&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; -4x &nbsp; &nbsp; &nbsp; &nbsp; = -17</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 = -17/-4</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 = 17/4</p><p>Substitusikan x = 17/4 ke persamaan (1)</p><p>2x + 2y = 3</p><p>2(17/4) + 2y = 3</p><p>17/2 + 2y = 3</p><p>2y = 3 - 17/2</p><p>2y = 6/2 - 17/2</p><p>2y = -11/2</p><p>y = -11/2 : 2</p><p>y = -11/2 x 1/2</p><p>y = -11/4</p><p>Jadi himpunan penyelesaiannya adalah {(17/4, -11/4)}</p>