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Dari sistem persamaan 3 x + 2 y = 8 dan x – 5 y = –37 , nilai dari 6 x + 4 y adalah …

Dari sistem persamaan dan , nilai dari adalah …

  1. 7

  2. -2

  3. 16

  4. 40

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

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Pembahasan

Substitusi nilai x = 7 ke persamaan: Maka,

begin mathsize 12px style 3 x space plus space 2 y space equals space 8 space space space space space left parenthesis cross times space 1 right parenthesis space space space space 3 x space plus space 2 y space space space equals space space space space space space space space space 8 x space – space 5 y space space equals space – 37 space left parenthesis cross times space 3 right parenthesis space space space space bottom enclose 3 x space – space 15 y space equals space – 111 end enclose space space – space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 17 y space equals space 119 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space y space equals space 7  end style 
Substitusi nilai x = 7 ke persamaan:
space space space space 3 x space plus space 2 y space equals space 8 space space space space 3 x space plus space 2 left parenthesis 7 right parenthesis space equals space 8 space space space space space space space space space 3 x space plus space 14 space equals space 8 space space space space space space space space space space space space space space space space space space space space space space space space space space space 3 x space equals space 8 space – space 14 space space space space space space space space space space space space space space space space space space space space space space space space space space space space 3 x space equals space – space 6 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space x space equals space – 2

Maka,

6 x space plus space 4 y space equals 6 left parenthesis – 2 right parenthesis space plus space 4 left parenthesis 7 right parenthesis space space space space space space space space space space space space space space space space space equals negative 12 plus 28 space space space space space space space space space space space space space space space space space equals 16

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