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Jika garis ( a + b) x + 2 by = 2 dan garis ax - ( b - 3 a) y = -4 berpotongan di ( 1,-1) , maka nilai a + b = ...

Jika garis (b) + 2by = 2 dan garis ax - (3a) = -4 berpotongan di (1,-1), maka nilai =  ...

  1. -1

  2. 1

  3. -2

  4. 2

  5. 0

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Jawaban terverifikasi

Jawaban

nilai a + b = 2 + 0 = 2

nilai = 2 + 0 = 2

Pembahasan

Substitusikan titik ( 1,-1) ke semua garis: Substitusikan pers 1 ke pers 2 Maka nilai a, a = b + 2 = 0 + 2 = 2 Sehingga nilai a + b = 2 + 0 = 2

Substitusikan titik (1,-1) ke semua garis:

begin mathsize 12px style left parenthesis x comma y right parenthesis equals left parenthesis 1 comma negative 1 right parenthesis rightwards arrow left parenthesis a plus b right parenthesis x plus 2 b y equals 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 space space space space space rightwards arrow left parenthesis a plus b right parenthesis 1 plus 2 b left parenthesis negative 1 right parenthesis equals 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 space space space space space rightwards arrow a plus b minus 2 b equals 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 space space space space space rightwards arrow a minus b equals 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 space space space space space rightwards arrow a equals b plus 2 horizontal ellipsis left parenthesis p e r s space 1 right parenthesis space space  left parenthesis x comma y right parenthesis equals left parenthesis 1 comma negative 1 right parenthesis rightwards arrow a x minus left parenthesis b minus 3 a right parenthesis y equals negative 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 space space space space space space space rightwards arrow a left parenthesis 1 right parenthesis minus left parenthesis b minus 3 a right parenthesis left parenthesis negative 1 right parenthesis equals negative 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 space space space space space space space rightwards arrow a plus left parenthesis b minus 3 a right parenthesis equals negative 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 space space space space space space space rightwards arrow negative 2 a plus b equals negative 4 horizontal ellipsis left parenthesis p e r s space 2 right parenthesis end style 

Substitusikan pers 1 ke pers 2

begin mathsize 12px style a equals b plus 2 rightwards arrow negative 2 a plus b equals negative 4 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 left parenthesis b plus 2 right parenthesis plus b equals negative 4 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 b minus 4 plus b equals negative 4 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 negative 4 plus 4 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 0 end style 

Maka nilai a, + 2 = 0 + 2 = 2

Sehingga nilai = 2 + 0 = 2

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