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Pertanyaan

Jika 3 x − 2 y = − 1 , − 2 x + 3 y = 4 , 4 x + b y = 4 b , dan a x + 3 y = 2 a , maka a + b = ....

Jika  dan , maka a + b = ....

  1. 8

  2. 4

  3. 3

  4. -4

  5. -8

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M. Robo

Master Teacher

Jawaban terverifikasi

Jawaban

nilai a + b = 6 + 2 = 8.

nilai a + b = 6 + 2 = 8.

Pembahasan

Substitusikan y = 2 ke persamaan 3 x - 2 y = -1 menjadi: Sehingga: Jadi, nilai a + b = 6 + 2 = 8.

begin mathsize 14px style table row cell 3 x minus 2 y equals negative 1 end cell row cell negative 2 x plus 3 y equals 4 end cell end table open vertical bar table row cell cross times 2 end cell row cell cross times 3 end cell end table close vertical bar table row cell 6 x minus 4 y equals negative 2 end cell blank row cell bottom enclose negative 6 x plus 9 y equals 12 end enclose end cell plus 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 5 y equals 10 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 end style

Substitusikan = 2 ke persamaan 32= -1 menjadi:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 3 x minus 2 left parenthesis 2 right parenthesis end cell equals cell negative 1 space end cell row cell 3 x end cell equals cell 3 space end cell row x equals 1 end table end style

Sehingga:

begin mathsize 14px style 4 x plus b y equals 4 b rightwards double arrow 4 open parentheses 1 close parentheses plus b open parentheses 2 close parentheses equals 4 b rightwards double arrow 2 b equals 4 rightwards double arrow b equals 2 a x plus 3 y equals 2 a rightwards double arrow a open parentheses 1 close parentheses plus 3 open parentheses 2 close parentheses equals 2 a rightwards double arrow a equals 6 end style

Jadi, nilai a + b = 6 + 2 = 8.

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