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Agar sistem persamaaan linier mempunyai penyelesaian x = 1, y = -1, dan z = 2, maka nilai 2a + b - c adalah...

Agar sistem persamaaan linier open curly brackets table row cell a x plus b y minus 3 z equals negative 3 end cell row cell negative 2 x minus b y plus c z equals negative 1 end cell row cell a x plus 3 y minus c z equals negative 3 end cell end table closemempunyai penyelesaian x = 1, y = -1, dan z = 2, maka nilai 2a + b - c adalah...

  1. 2

  2. 3

  3. 1

  4. -2

  5. -3

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Substitusikan x = 1, y = -1, dan z = 2ke sistem persamaan linier:

Substitusikan x = 1, y = -1, dan z = 2 ke sistem persamaan linier:

table row cell space space space space space a minus b minus 6 equals negative 3 end cell row cell negative 2 plus b plus 2 c equals negative 1 end cell row cell space space space space space bottom enclose space space space space space stack a minus 3 minus 2 c equals negative 3 with blank below space space plus end enclose end cell end table space space space space space 2 a minus 2 minus 3 minus 6 equals negative 3 space space space space space space space space space space space space space space space space space space space space space space space 2 a equals 4 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 a equals 2 S u b s t i t u s i k a n space n i l a i space a equals 2 space k e space s a t u space d i a n t a r a space p e r s a m a a n space t e r s e b u t comma space m a k a colon a minus b minus 6 equals negative 3 rightwards arrow 2 minus b minus 6 equals negative 3 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 rightwards arrow negative b equals 1 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 rightwards arrow b equals negative 1 S u b s t i t u s i k a n space n i l a i space a equals 2 space d a n space b equals negative 1 colon a minus 3 minus 2 c equals negative 3 rightwards arrow 2 minus 3 minus 2 c equals negative 3 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 rightwards arrow negative 2 c equals negative 2 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 rightwards arrow c equals 1 J a d i comma space n i l a i space 2 a plus b minus c equals 2 open parentheses 2 close parentheses plus open parentheses negative 1 close parentheses minus 1 equals 2

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