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Nanda, Dina, dan Meta pergi ke toko buku dan membeli alat tulis. Nanda membeli 3 penghapus, 4 pensil dan 2 buku seharga Rp28.000,00. Dina membeli 5 penghapus, 2 pensil dan 1 buku seharga Rp21.000,00. Sementara Meta membeli 1 penghapus, 1 pensil dan 2 buku seharga Rp15.000,00. Jika Doni membeli 1 penghapus, 1 pensil dan 1 buku, maka Doni harus membayar sebesar …

Nanda, Dina, dan Meta pergi ke toko buku dan membeli alat tulis. Nanda membeli 3 penghapus, 4 pensil dan 2 buku seharga Rp28.000,00. Dina membeli 5 penghapus, 2 pensil dan 1 buku seharga Rp21.000,00. Sementara Meta membeli 1 penghapus, 1 pensil dan 2 buku seharga Rp15.000,00. Jika Doni membeli 1 penghapus, 1 pensil dan 1 buku, maka Doni harus membayar sebesar …

  1. Rp10.000,00

  2. Rp12,500,00

  3. Rp15.000,00

  4. Rp17.500,00

  5. Rp20.000,00

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

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Pembahasan

begin mathsize 12px style M i s a l k a n colon h a r g a space p e n g h a p u s equals x comma space h a r g a space p e n s i l equals y d a n space h a r g a space b u k u equals z space S i s t e m space p e r s a m a a n space l i n i e r n y a comma space y a i t u colon 3 x plus 4 y plus 2 z equals 28000 horizontal ellipsis left parenthesis i right parenthesis space 5 x plus 2 y plus z equals 21000 horizontal ellipsis left parenthesis i i right parenthesis space x plus y plus 2 z equals 15000 horizontal ellipsis left parenthesis i i i right parenthesis space N i l a i space x space d a p a t space d i k e t a h u i space d e n g a n space m e n g e l i m i n a s i v a r i a b e l space y space d a n space z space d a r i space p e r s a m a a n space left parenthesis i right parenthesis space d a n space left parenthesis i i right parenthesis comma d i p e r o l e h colon table row cell 3 x plus 4 y plus 2 z equals 28000 end cell row cell 5 x plus 2 y plus z equals 21000 end cell end table open vertical bar table row cell cross times 1 end cell row cell cross times 2 end cell end table close vertical bar table row cell 3 x plus 4 y plus 2 z equals 28000 end cell row cell bottom enclose 10 x plus 4 y plus 2 z equals 42000 end enclose minus end cell 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 space space space space space space space space space space space space space space space space space space space minus 7 x equals negative 14000 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 space space space space space space space space space space space space space space space space space space space space space space space x equals 2000 S e l a n j u t n y a space n i l a i space y space d a p a t space d i c a r i space d e n g a n space v a r i a b e l space z d a r i space p e r s a m a a n space left parenthesis i i right parenthesis space d a n space left parenthesis i i i right parenthesis comma space d i p e r o l e h colon table row cell 5 x plus 2 y plus z equals 21000 end cell row cell x plus y plus 2 z equals 15000 end cell end table open vertical bar table row cell cross times 2 end cell row cell cross times 1 end cell end table close vertical bar table row cell 10 x plus 4 y plus 2 z equals 42000 space space space space space space space space space space end cell row cell bottom enclose x plus y plus 2 z equals 15000 end enclose space minus end cell 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 space space space space space space space space space space space space 9 x plus 3 y equals 27000 horizontal ellipsis left parenthesis i v right parenthesis space S u b s t i t u s i space n i l a i space x equals 2000 space k e space p e r s a m a a n space left parenthesis i v right parenthesis comma space y a i t u colon 9 x plus 3 y equals 27000 horizontal ellipsis left parenthesis i v right parenthesis space 9 left parenthesis 2000 right parenthesis plus 3 y equals 27000 space 18000 plus 3 y equals 27000 space 3 y equals 9000 space y equals 3000 S u b s t i t u s i space n i l a i space x equals 2000 space d a n space y equals 3000 space k e p e r s a m a a n left parenthesis i i i right parenthesis comma space d i p e r o l e h colon space x plus y plus 2 z equals 15000 horizontal ellipsis left parenthesis i i i right parenthesis space left parenthesis 2000 right parenthesis plus left parenthesis 3000 right parenthesis plus 2 z equals 15000 space space 2 z equals 10000 space z equals 5000 D e n g a n space d e m i k i a n colon h a r g a space p e n g h a p u s colon space x equals R p 2.000 comma 00 comma h a r g a space p e n s i l space colon space y space equals space R p 3.000 comma 00 comma space h a r g a space b u k u space colon space z space equals space R p 5.000 comma 00 J a d i comma space y a n g space h a r u s space d i b a y a r space D o n i space y a i t u space s e b e s a r colon equals R p 2.000 comma 00 plus R p 3.000 comma 00 plus R p 5.000 comma 00 equals R p 10.000 comma 00. end style

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Azizah Nur Amalina

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