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04 Oktober 2024 03:13

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04 Oktober 2024 03:39

Jawaban terverifikasi

<p>Jawaban yang tepat adalah <strong>Rp. 12.100</strong></p><p>&nbsp;</p><p>Pembahasan :</p><p>Misalkan x = sendok dan y = garpu maka</p><p>4x + 5y = 54.900 &nbsp; &nbsp; &nbsp;(1)</p><p>2x + 3y = 30.700 &nbsp; &nbsp; &nbsp;(2)</p><p>&nbsp;</p><p>Eliminasi x untuk mendapatkan nilai y</p><p>4x + 5y = 54.900 &nbsp; &nbsp; &nbsp;(1) &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; ---&gt; 4x + 5y = 54.900</p><p>2x + 3y = 30.700 &nbsp; &nbsp; &nbsp;(2) (dikali 2) ---&gt; <u>4x + 6y = 61.400</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; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;-y = -6.500</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; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;y = 6.500</p><p>Substitusikan y = 6.500 ke persamaan (2)</p><p>2x + 3y = 30.700&nbsp;</p><p>2x + 3(6.500) = 30.700&nbsp;</p><p>2x + 19.500 = 30.700</p><p>2x = 30.700 - 19.500</p><p>2x = 11.200</p><p>x = 11.200 : 2</p><p>x = 5.600</p><p>&nbsp;</p><p>x + y = 5.600 + 6.500&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 12.100</p><p>Jadi, Harga 1 sendok dan 1 garpu adalah <strong>Rp. 12.100</strong></p><p>&nbsp;</p>

Jawaban yang tepat adalah Rp. 12.100

 

Pembahasan :

Misalkan x = sendok dan y = garpu maka

4x + 5y = 54.900      (1)

2x + 3y = 30.700      (2)

 

Eliminasi x untuk mendapatkan nilai y

4x + 5y = 54.900      (1)                   ---> 4x + 5y = 54.900

2x + 3y = 30.700      (2) (dikali 2) ---> 4x + 6y = 61.400 _

                                                                                 -y = -6.500

                                                                                 y = 6.500

Substitusikan y = 6.500 ke persamaan (2)

2x + 3y = 30.700 

2x + 3(6.500) = 30.700 

2x + 19.500 = 30.700

2x = 30.700 - 19.500

2x = 11.200

x = 11.200 : 2

x = 5.600

 

x + y = 5.600 + 6.500 

          = 12.100

Jadi, Harga 1 sendok dan 1 garpu adalah Rp. 12.100

 


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