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Diketahui sistem persamaan linier sebagai berikut x + y x y ​ = 2 1 ​ , y + z yz ​ = 3 1 ​ , d an x + 2 x z ​ = 7 1 ​ Himpunan penyelesaiannya adalah …

Diketahui sistem persamaan linier sebagai berikut Himpunan penyelesaiannya adalah …

  1. open parentheses fraction numerator begin display style 1 end style over denominator begin display style 5 end style end fraction comma negative 2 comma negative fraction numerator begin display style 1 end style over denominator begin display style 6 end style end fraction close parentheses

  2. open parentheses negative 1 half comma 1 comma 1 third close parentheses

  3. open parentheses 1 third comma negative 1 comma 1 fourth close parentheses

  4. open parentheses negative 1 third comma negative 2 comma 1 fifth close parentheses

  5. open parentheses 1 half comma negative 1 comma 1 over 6 close parentheses

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

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fraction numerator x y over denominator x plus y end fraction equals 1 half space space left square bracket k a l i space s i l a n g right square bracket x plus y equals 2 x y space left square bracket k e u d a space r u a s space d i b a g i space x y right square bracket 1 over y plus 1 over x space equals 2 horizontal ellipsis left parenthesis P e r s space 1 right parenthesis fraction numerator y z over denominator y plus z end fraction equals 1 third space left square bracket k a l i space s i l a n g right square bracket y plus z equals 1 third space space left square bracket k e d u a space r u a s space d i k a l i space y z right square bracket 1 over z plus 1 over y equals 3 space.... space left parenthesis P e r s space 2 right parenthesis fraction numerator x z over denominator x plus z end fraction space equals space fraction numerator 1 over denominator 7 space end fraction left square bracket k a l i space s i l a n g right square bracket x plus z equals 7 x z space left square bracket k e d u a space r u a s right square bracket 1 over z plus 1 over x equals 7 space.... space left parenthesis P e r s space 3 right parenthesis  U n t u k space m e m p e r m u d a h space p e r h i t u n g a n n y a comma space m i s a l k a n colon 1 over x equals a semicolon space 1 over y space equals space b semicolon space 1 over z space equals space c  M a k a space p e r s a m a a n space 1 comma space 2 comma space d a n space 3 comma space m e n j a d i colon space a plus b equals 2 horizontal ellipsis left parenthesis P e r s space 1 right parenthesis space b plus c equals 3 horizontal ellipsis left parenthesis P e r s space 2 right parenthesis space a plus c equals 7 horizontal ellipsis left parenthesis P e r s space 3 right parenthesis space E l i m i n a s i space p e r s a m a a n space 1 space d a n space p e r s a m a a n space 2 a space plus space b space equals space 2 bottom enclose b space plus space c space equals space 3 space space space space space space end enclose minus a space minus space c space equals space 1 space... left parenthesis p e r s space 4 right parenthesis space  a space plus space c space equals space 7 space bottom enclose a space minus space c space equals space minus 1 space space space end enclose minus space 2 a space equals space 6 space left right double arrow space a space equals space 3 space  S u b t i t u s i k a n space k e space p e r s a m a a n space left parenthesis 4 right parenthesis space d i d a p a t space c space equals space 4 space S u b i t u s i k a n space k e space p e r s a m a a n space left parenthesis 1 right parenthesis space d i d a p a t space b space equals space minus 1  a equals 3 left right double arrow 1 over x equals 3 left right double arrow x equals space 1 third b equals negative 1 left right double arrow 1 over y equals negative 1 left right double arrow y equals negative 1 c equals 4 left right double arrow 1 over z equals 4 left right double arrow z equals 1 fourth  S e h i n g g a space h i m p u n a n space p e n y e l e s a i a n n y a space a d a l a h space open parentheses 1 third comma negative 1 comma 1 fourth close parentheses right parenthesis    space

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