Soal matematika spltv

<p>ok saya bantu jawab ya....</p><p>&nbsp;</p><p>Misalkan x = jeruk, y = apel dan z = lengkeng &nbsp;sehingga</p><ul><li>x + y + 2z = 122.5000 &nbsp; &nbsp; &nbsp; &nbsp;(1) &nbsp; &nbsp;Pembeli 1</li><li>y + 3z = 125.000 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; (2) &nbsp; &nbsp; Pembeli 2</li><li>3x + z = 122.500 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;(3) &nbsp; &nbsp;Pembeli 3</li></ul><p>&nbsp;</p><p>Uang untuk beli buah = 250.000 - 25.000</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; = 225.000</p><p>Dari persamaan (3)</p><p>3x + z = 122.500 --&gt; z = 122.500 - 3x &nbsp; &nbsp; (4)</p><p>&nbsp;</p><p>Substitusikan persamaan (4) &nbsp;ke persamaan (2)</p><p>y + 3z = 125.000</p><p>y + 3(122.500 - 3x) = 125.000</p><p>y + 367.500 - 9x = 125.000</p><p>y = 125.000 - 367.500 + 9x</p><p>y = 9x - 242.500 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;(5)</p><p>&nbsp;</p><p>Substitusikan persamaan (4) dan (5) ke persamaan (1) untuk mendapatkan nilai x</p><p>x + y + 2z = 122.5000</p><p>x + (9x - &nbsp;242.500) + 2(122.500 - 3x) = 122.5000</p><p>x + 9x - &nbsp;242.500 + 245.000 - 6x = 122.5000</p><p>4x + 2.500 = 122.500</p><p>4x = 122.500 - 2.500</p><p>4x = 120.000</p><p>x = 120.000/4</p><p>x = 30.000</p><p>1 kg jeruk = Rp. 30.000</p><p>&nbsp;</p><p>Substitusikan x = 30.000 ke persamaan (4) dan (5)&nbsp;</p><p>z = 122.500 - 3x &nbsp;</p><p>z = 122.500 - 3(30.000)</p><p>&nbsp; &nbsp;= 122.500 - 90.000</p><p>&nbsp; &nbsp;= &nbsp;32.500</p><p>Harga 1 kg lengkeng = Rp. 32.500.</p><p>&nbsp;</p><p>y = 9x - 242.500 &nbsp;</p><p>y = 9(30.000) - 242.500 &nbsp;</p><p>&nbsp; &nbsp; = 270.000 - 242.500</p><p>&nbsp; &nbsp; = 27.500</p><p>Harga 1 kg apel = Rp. 27.500</p><p>&nbsp;</p><p>&nbsp;</p><p>Jadi Desi dan Rahma harus membeli 2 kg jeruk, 2 kg apel dan 3 kg lengkeng dengan harga Rp. 212.500</p><p>2x + 2y + 3z = 2(30.000) + 2(27.500) + 3(32.500)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 60.000 + 55.000 + 97.500</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 212.500</p><p>Sisa uang (kembalian) = 225.000 - 212.500</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; = Rp. 12.500</p>