diketahui harga 2kg apel dan 3 kg jeruk Rp 94.000,00, sedangkan harga 3 kg apel dan 2 kg jeruk Rp 101.000,00. Harga 1 kg apel adalah...

<p>Jawaban yang tepat :</p><p><strong>Harga 1 kg apel adalah Rp. 23.000,00</strong></p><p>&nbsp;</p><p>Penyelesaian :</p><p>Misalkan apel = x dan jeruk = y maka kalimat matematikanya menjadi :</p><p>2x + 3y = 94.000 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;...(1)</p><p>3x + 2y = 101.000 &nbsp; &nbsp; &nbsp; &nbsp; ...(2)</p><p>Ditanya :</p><p>Harga 1 kg apel (x)?</p><p>&nbsp;</p><p>Pembahasan :</p><p><strong>Eliminasi y untruk mendapaykan nilai x</strong></p><p>2x + 3y = 94.000 &nbsp; &nbsp; &nbsp; &nbsp;(dikali 2) --&gt; 4x + 6y = 188.000</p><p>3x + 2y = 101.000 &nbsp; &nbsp; &nbsp;(dikali 3) --&gt; <u>9x + 6y = 303.000</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; &nbsp; &nbsp; -5x &nbsp; &nbsp; &nbsp; &nbsp; = -115.000</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; &nbsp; x = -115.000 : -5</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; &nbsp; &nbsp; &nbsp; = 23.000</p><p>Jadi Harga 1 kg apel adalah Rp. 23.000,00</p>