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13 November 2023 13:02

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13 November 2023 13:02

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Tentukan penyelesaian spldv dibawah Eliminasi 2x+7y 2x+3y=1000

Tentukan penyelesaian spldv dibawah 

Eliminasi 

2x+7y

2x+3y=1000

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Sumber W

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07 Desember 2023 03:51

Jawaban terverifikasi

<p>Jawaban yang benar adalah {(875, -250)}</p><p>&nbsp;</p><p>Pembahasan :</p><p>2x + 7y = 0 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;(1)</p><p>2x + 3y = 1000 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; (2)</p><p>&nbsp;</p><p>Eliminasi variabel x untuk mendapatkan nilai y</p><p>2x + 7y = 0</p><p><u>2x + 3y = 1000&nbsp;</u> _</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;4y = -1000</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;y = -250</p><p>&nbsp;</p><p>Eliminasi variabel y untuk mendapatkan nilai x</p><p>2x + 7y = 0 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; (dikali 3) &nbsp;--&gt; 6x + 21y = 0</p><p>2x + 3y = 1000 &nbsp; &nbsp; &nbsp; (dikali 7) &nbsp;--&gt; <u>14x + 21y = 7000&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; &nbsp; &nbsp; &nbsp; &nbsp; -8x &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= -7000</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;x = 875</p><p>Jadi, nilai x = 875 dan y = -250</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; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</p>

Jawaban yang benar adalah {(875, -250)}

 

Pembahasan :

2x + 7y = 0                  (1)

2x + 3y = 1000           (2)

 

Eliminasi variabel x untuk mendapatkan nilai y

2x + 7y = 0

2x + 3y = 1000  _

         4y = -1000

         y = -250

 

Eliminasi variabel y untuk mendapatkan nilai x

2x + 7y = 0               (dikali 3)  --> 6x + 21y = 0

2x + 3y = 1000       (dikali 7)  --> 14x + 21y = 7000  _

                                                              -8x              = -7000

                                                               x = 875

Jadi, nilai x = 875 dan y = -250

                                                                                              


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Dela A

Community

07 Desember 2023 05:01

Jawaban terverifikasi

jawaban yang tepat untuk soal tersebut adalah {875, –250}. 2x + 7y = 0 ...(1) 2x + 3y = 1000 ...(2) Eliminasi variabel x agar mendapatkan nilai y, caranya dengan mengurangkan kedua persamaan tersebut, sehingga 2x + 7y = 0 2x + 3y = 1000 – 4y = –1000 y = –1000/4 y = –250 Kita eliminasi variabel y untuk mendapatkan nilai dari variabel x, sehingga 2x + 7y = 0 (×3) 2x + 3y = 1000 (×7) = 6x + 21y = 0 14x + 21y = 7000 – –8x = –7000 x = –7000/–8 x = 875 Jadi, nilai x = 875 dan nilai y = –250.


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