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Jika diketahui sistem persamaan linear: ⎩ ⎨ ⎧ ​ x 1 ​ − y 1 ​ + z 1 ​ = 2 1 ​ x 1 ​ + y 1 ​ − z 1 ​ = − 3 1 ​ ​ x 1 ​ + y 1 ​ + z 1 ​ = 4 1 ​ ​ Nilai dari x 1 ​ + y 1 ​ + z 1 ​ adalah ...

Jika diketahui sistem persamaan linear:

  1. begin mathsize 14px style 7 over 12 end style

  2. begin mathsize 14px style 6 over 12 end style

  3. begin mathsize 14px style 5 over 12 end style

  4. begin mathsize 14px style 4 over 12 end style

  5. begin mathsize 14px style 3 over 12 end style

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

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Pembahasan

begin mathsize 14px style table attributes columnalign left end attributes row cell table row cell 1 over straight x minus 1 over straight y plus 1 over straight z equals 1 half end cell row cell 1 over straight x plus 1 over straight y minus 1 over straight z equals negative 1 third end cell end table end cell row cell fraction numerator 1 over straight x plus 1 over straight y plus 1 over straight z equals 1 fourth over denominator 1 over straight x plus 1 over straight y plus 1 over straight z equals end fraction plus end cell end table  left right double arrow equals fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction plus fraction numerator begin display style 1 end style over denominator begin display style 3 end style end fraction plus fraction numerator begin display style 1 end style over denominator begin display style 12 end style end fraction equals fraction numerator begin display style 5 end style over denominator begin display style 12 end style end fraction end style

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Agar sistem persamaan linear ⎩ ⎨ ⎧ ​ a x + b y − 3 z = − 5 − 2 x − b y + cz = 1 a x + 3 y − cz = 3 ​ mempunyai penyelesaian x = 1 , y = 1 , dan z = 2 , maka nilai a + b + c adalah . . . .

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