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Sistem persamaan memiliki solusi untuk c = ...

Sistem persamaan open curly brackets table row cell x plus 2 y equals a end cell row cell 2 x plus 3 y equals b end cell row cell 5 x plus 8 y equals c end cell end table closememiliki solusi untuk c = ...

  1. 2a - b

  2. a + 2b

  3. -a + 2b

  4. a - 2b

  5. 2a + b

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Eleminasi persamaan 1 dan 2:

Eleminasi persamaan 1 dan 2:

table row cell space space space space x plus 2 y equals a space space space space space open vertical bar cross times 2 close vertical bar space space space space space 2 x plus 4 y equals 2 a space space space space space space end cell row cell 2 x plus 3 y equals b space space space space space open vertical bar cross times 1 close vertical bar space space space space space bottom enclose stack 2 x plus 3 y equals b with blank below space space minus end enclose end cell end table 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 equals 2 a minus b S u b s t i t u s i k a n space n i l a i space y space k e space p e r s a m a a n space 1 colon space space space space space space space space space space space space space space x plus 2 y equals a space space space x plus 2 open parentheses 2 a minus b close parentheses equals a space space space space space space x plus 4 a minus 2 b equals a space space space space space space space space space space space space space space space space space space space space space space space x equals a minus 4 a plus 2 b space space space space space space space space space space space space space space space space space space space space space space space x equals negative 3 a plus 2 b J a d i comma 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 5 x plus 8 y equals c space 5 open parentheses negative 3 a plus 2 b close parentheses plus 8 open parentheses 2 a minus b close parentheses equals c space minus 15 a plus 10 b plus 16 a minus 8 b equals c 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 a plus 2 b equals c

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

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