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Nilai x yang memenuhi persamaan linier 2 x − 1 2 ​ − x − 5 4 x ​ = 2 x 2 − 11 x + 5 10 − 8 x 2 ​ adalah....

Nilai yang memenuhi persamaan linier adalah....

  1. 20 over 3

  2. 6 over 10

  3. 10 over 6

  4. 10 over 3

  5. 3 over 20

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Master Teacher

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Pembahasan

table attributes columnalign right center left columnspacing 0px end attributes row cell space fraction numerator 2 over denominator 2 x space minus space 1 end fraction space minus space fraction numerator 4 x over denominator x space minus 5 space end fraction space end cell equals cell space fraction numerator 10 space minus space 8 x squared over denominator 2 x squared space minus space 11 x space plus space 5 space end fraction space end cell row cell fraction numerator 2 left parenthesis x space minus 5 right parenthesis space minus space 4 x left parenthesis 2 x minus 1 right parenthesis over denominator left parenthesis 2 x minus 1 right parenthesis left parenthesis x minus 5 right parenthesis end fraction space end cell equals cell space fraction numerator 10 space minus space 8 x squared over denominator 2 x squared space minus space 11 x space plus 5 end fraction end cell row cell fraction numerator 2 x space minus space 10 space minus space 8 x squared space plus space 4 x over denominator 2 x squared space minus space 10 x space minus space x space plus 5 space end fraction space end cell equals cell space fraction numerator 10 space minus space 8 x squared over denominator 2 x squared space minus space 11 x space plus 5 end fraction end cell row cell fraction numerator negative 8 x squared space plus space 6 x space minus space space 10 over denominator 2 x squared space minus space 11 x space plus 5 end fraction space end cell equals cell space fraction numerator 10 space minus space 8 x squared over denominator 2 x squared space minus space 11 x space plus 5 end fraction end cell row cell negative 8 x squared space plus space 6 x space minus space space 10 space end cell equals cell space 10 space minus space 8 x squared end cell row cell negative 8 x squared space plus space 8 x squared space plus space 6 x space end cell equals cell space 10 space plus 10 end cell row cell 6 x space end cell equals cell space 20 end cell row cell x space end cell equals cell space 20 over 6 end cell row cell x space end cell equals cell space 10 over 3 end cell end table

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Nilai x dari persamaan linier 3 ( 7 x + 2 ) ​ = 4 x − 1 adalah....

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