x - y + z = 2 2x + y - z = 4 x + 2y + 3z = 7

<p>Nilai <strong>x = 2, y = 1, dan z = 1</strong></p><p>&nbsp;</p><p>&nbsp; &nbsp; &nbsp; x - y + z = 2 ... (1)</p><p>&nbsp; &nbsp; 2x + y - z = 4 ... (2)</p><p>x + 2y + 3z = 7 ... (3)</p><p>&nbsp;</p><p>Menjumlahkan persamaan (1) dan (2) untuk mencari nilai x :</p><p>&nbsp; &nbsp;x - y + z = 2</p><p><u>&nbsp;2x + y - z = 4</u> &nbsp;+</p><p>3x + 0 + 0 = 6</p><p>3x = 6</p><p>&nbsp; x = 6 ÷ 3</p><p>&nbsp; <strong>x = 2</strong></p><p>Eliminasi persamaan (3) dan (1) untuk mencari nilai y :</p><p>x + 2y + 3z = 7 |1×| &nbsp; x + 2y + 3z = 7</p><p>&nbsp; &nbsp; &nbsp;x - y + z = 2 &nbsp;|3x| <u>3x - 3y + 3z = 6</u> &nbsp;–</p><p>ㅤㅤㅤㅤㅤㅤㅤㅤㅤ-2x + 5y + 0 = 1</p><p>-2x + 5y = 1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 5y = 1 + 2x ... (4)</p><p>Subtitusi x = 2 pada persamaan (4) untuk mencari nilai y :</p><p>5y = 1 + 2x</p><p>5y = 1 + 2(2)</p><p>5y = 1 + 4</p><p>&nbsp; y = 5 ÷ 5</p><p>&nbsp; <strong>y = 1</strong></p><p>Subtitusi x = 2 dan y = 1 pada persamaan (1) untuk mencari nilai z :</p><p>x - y + z = 2</p><p>2 - 1 + z = 2</p><p>&nbsp; &nbsp; &nbsp;1 + z = 2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;z = 2 - 1</p><p>&nbsp; &nbsp;<strong> &nbsp; &nbsp; &nbsp; &nbsp;z = 1</strong></p><p>maka nilai x = 2, y = 1, dan z = 1.</p><p>&nbsp;</p><p>Selesai :D</p><p>Mohon koreksinya, terimakasih 🙏</p>