Pertanyaan

Diberikan sistem persamaan linier tiga variabel seperti berikut. Dengan a , b , c , dan d koefisien dan x , y , dan z merupakan variabel. Pernyataan berikut yang tepat untuk menentukan nilai z adalah ….

Diberikan sistem persamaan linier tiga variabel seperti berikut.

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Dengan a, b, c, dan d koefisien dan x, y, dan z merupakan variabel. Pernyataan berikut yang tepat untuk menentukan nilai z adalah ….

$begin mathsize 14px style z equals fraction numerator open parentheses open parentheses b subscript 2 c subscript 3 d subscript 1 and b subscript 1 c subscript 2 d subscript 3 and b subscript 3 c subscript 1 d subscript 2 close parentheses minus sign open parentheses b subscript 1 c subscript 3 d subscript 2 and b subscript 3 c subscript 2 d subscript 1 and b subscript 2 c subscript 1 d subscript 3 close parentheses close parentheses over denominator open parentheses open parentheses a subscript 1 b subscript 2 c subscript 3 and a subscript 3 b subscript 1 c subscript 2 and a subscript 3 b subscript 2 c subscript 1 close parentheses minus sign open parentheses a subscript 2 b subscript 1 c subscript 3 and a subscript 1 b subscript 3 c subscript 2 and a subscript 3 b subscript 2 c subscript 1 close parentheses close parentheses end fraction end style$
$begin mathsize 14px style z equals fraction numerator open parentheses open parentheses a subscript 1 c subscript 3 d subscript 2 and a subscript 3 c subscript 2 d subscript 1 and a subscript 2 c subscript 1 d subscript 3 close parentheses minus sign open parentheses a subscript 2 c subscript 3 d subscript 1 and a subscript 1 c subscript 2 d subscript 3 and a subscript 3 c subscript 1 d subscript 2 close parentheses close parentheses over denominator open parentheses open parentheses a subscript 1 b subscript 2 c subscript 3 and a subscript 3 b subscript 1 c subscript 2 and a subscript 3 b subscript 2 c subscript 1 close parentheses minus sign open parentheses a subscript 2 b subscript 1 c subscript 3 and a subscript 1 b subscript 3 c subscript 2 and a subscript 3 b subscript 2 c subscript 1 close parentheses close parentheses end fraction end style$
$begin mathsize 14px style z equals fraction numerator open parentheses open parentheses a subscript 1 b subscript 2 d subscript 3 and a subscript 3 b subscript 1 d subscript 2 and a subscript 2 b subscript 3 d subscript 1 close parentheses minus sign open parentheses a subscript 2 b subscript 1 d subscript 3 and a subscript 1 b subscript 3 d subscript 2 and a subscript 3 b subscript 2 d subscript 1 close parentheses close parentheses over denominator open parentheses open parentheses a subscript 1 b subscript 2 c subscript 3 and a subscript 3 b subscript 1 c subscript 2 and a subscript 3 b subscript 2 c subscript 1 close parentheses minus sign open parentheses a subscript 2 b subscript 1 c subscript 3 and a subscript 1 b subscript 3 c subscript 2 and a subscript 3 b subscript 2 c subscript 1 close parentheses close parentheses end fraction end style$
$begin mathsize 14px style z equals fraction numerator open parentheses open parentheses a subscript 1 b subscript 2 c subscript 3 and a subscript 3 b subscript 1 c subscript 2 and a subscript 3 b subscript 2 c subscript 1 close parentheses minus sign open parentheses a subscript 2 b subscript 1 c subscript 3 and a subscript 1 b subscript 3 c subscript 2 and a subscript 3 b subscript 2 c subscript 1 close parentheses close parentheses over denominator open parentheses open parentheses b subscript 2 c subscript 3 d subscript 1 and b subscript 1 c subscript 2 d subscript 3 and b subscript 3 c subscript 1 d subscript 2 close parentheses minus sign open parentheses b subscript 1 c subscript 3 d subscript 2 and b subscript 3 c subscript 2 d subscript 1 and b subscript 2 c subscript 1 d subscript 3 close parentheses close parentheses end fraction end style$
$begin mathsize 14px style z equals fraction numerator open parentheses open parentheses a subscript 1 b subscript 2 c subscript 3 and a subscript 3 b subscript 1 c subscript 2 and a subscript 3 b subscript 2 c subscript 1 close parentheses minus sign open parentheses a subscript 2 b subscript 1 c subscript 3 and a subscript 1 b subscript 3 c subscript 2 and a subscript 3 b subscript 2 c subscript 1 close parentheses close parentheses over denominator open parentheses open parentheses a subscript 1 c subscript 3 d subscript 2 and a subscript 3 c subscript 2 d subscript 1 and a subscript 2 c subscript 1 d subscript 3 close parentheses minus sign open parentheses a subscript 2 c subscript 3 d subscript 1 and a subscript 1 c subscript 2 d subscript 3 and a subscript 3 c subscript 1 d subscript 2 close parentheses close parentheses end fraction end style$

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Pembahasan

Bentuk umum SPLTV Eliminasi variabel x melalui persamaan (1) dan (2) Maka, Eliminasi variabel x melalui persamaan (1) dan (3) Maka, Eliminasi variabel y melalui persamaan (4) dan (5)

Bentuk umum SPLTV

Eliminasi variabel x melalui persamaan (1) dan (2)

Maka,

Eliminasi variabel x melalui persamaan (1) dan (3)

Maka,

Eliminasi variabel y melalui persamaan (4) dan (5)

$begin mathsize 14px style table row cell open parentheses a subscript 2 b subscript 1 bond a subscript 1 b subscript 2 close parentheses y and open parentheses a subscript 2 c subscript 1 bond a subscript 1 c subscript 1 close parentheses z double bond a subscript 2 d subscript 1 bond a subscript 1 d subscript 2 end cell row cell open parentheses a subscript 3 b subscript 1 bond a subscript 1 b subscript 3 close parentheses y and open parentheses a subscript 3 c subscript 1 bond a subscript 1 c subscript 3 close parentheses z double bond a subscript 3 d subscript 1 bond a subscript 1 d subscript 3 end cell end table space open vertical bar table row cell a subscript 3 b subscript 1 bond a subscript 1 b subscript 3 end cell row cell a subscript 2 b subscript 1 bond a subscript 1 b subscript 2 end cell end table close vertical bar space bottom enclose table row cell... end cell cell... end cell cell... space space space space space end cell row cell... end cell cell... end cell cell... space space minus sign end cell end table end enclose z equals fraction numerator left parenthesis left parenthesis a subscript 1 b subscript 2 d subscript 3 and a subscript 3 b subscript 1 d subscript 2 and a subscript 2 b subscript 3 d subscript 1 right parenthesis minus sign left parenthesis a subscript 2 b subscript 1 d subscript 3 and a subscript 1 b subscript 3 d subscript 2 and a subscript 3 b subscript 2 d subscript 1 right parenthesis right parenthesis over denominator left parenthesis left parenthesis a subscript 1 b subscript 2 c subscript 3 and a subscript 3 b subscript 1 c subscript 2 and a subscript 3 b subscript 2 c subscript 1 right parenthesis minus sign left parenthesis a subscript 2 b subscript 1 c subscript 3 and a subscript 1 b subscript 3 c subscript 2 and a subscript 3 b subscript 2 c subscript 1 right parenthesis right parenthesis end fraction end style$

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