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Mira, Mita, dan Nila pergi ke toko alat tulis bersama-sama. Mira membeli 4 buku, 2 pulpen, dan 3 pensil dengan harga Rp29.500,00. Lia membeli 3 buku, 3 pulpen, dan 1 pensil dengan harga Rp23.500,00. Nila membeli 3 buku dan 1 pensil dengan harga Rp14.500,00. Harga masing-masing sebuah buku, sebuah pulpen dan sebuah pensil adalah …

Mira, Mita, dan Nila pergi ke toko alat tulis bersama-sama. Mira membeli 4 buku, 2 pulpen, dan 3 pensil dengan harga Rp29.500,00. Lia membeli 3 buku, 3 pulpen, dan 1 pensil dengan harga Rp23.500,00. Nila membeli 3 buku dan 1 pensil dengan harga Rp14.500,00. Harga masing-masing sebuah buku, sebuah pulpen dan sebuah pensil adalah …

  1. Buku = Rp4.000,00, pulpen = Rp3.000,00, harga pensil = Rp2.500,00

  2. Buku = Rp3.000,00, pulpen = Rp4.000,00, harga pensil = Rp2.500,00

  3. Buku = Rp4.000,00, pulpen = Rp2.500,00, harga pensil = Rp3.000,00

  4. Buku = Rp2.500,00, pulpen = Rp4.000,00, harga pensil = Rp3.000,00

  5. Buku = Rp2.500,00, pulpen = Rp3.000,00, harga pensil = Rp4.000,00

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

begin mathsize 12px style M i s a l k a n colon space h a r g a space b u k u space equals space x h a r g a space p u l p e n space equals space y d a n space h a r g a space space p e n s i l space equals space z space S i s t e m space p e r s a m a a n space t e r s e b u t comma space y a i t u colon 4 x plus 2 y plus 3 z equals 29500 space horizontal ellipsis left parenthesis i right parenthesis space 3 x plus 3 y plus z equals 23500 space space horizontal ellipsis left parenthesis i i right parenthesis space 3 x plus z equals 14500 space space horizontal ellipsis left parenthesis i i i right parenthesis N i l a i space y 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 x space d a n space z space p a d a 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 3 x plus 3 y plus z equals 23500 space space space space space space space space space space space space space space end cell row cell bottom enclose 3 x plus z equals 14500 space space minus end enclose end cell end table space space space space space space space space space space 3 y space space space space space space space equals space 9000 space space space space space space space space space space space space space space space space space space space y equals 3000 N i l a i space y equals 3000 space k e m u d i a n space d i s u b s t i t u s i space k e space p e r s a m a a n left parenthesis i right parenthesis space d a n space left parenthesis i i right parenthesis space s e h i n g g a space d i d a p a t k a n space p e r s a m a a n space b a r u s e b a g a i space b e r i k u t. 4 x plus 2 y plus 3 z equals 29500 horizontal ellipsis left parenthesis i right parenthesis space 4 x plus 2 left parenthesis 3000 right parenthesis plus 3 z equals 29500 4 x plus 3 z equals 23500 horizontal ellipsis left parenthesis i v right parenthesis space s e d a n g k a n comma 3 x plus 3 y plus z equals 23500 horizontal ellipsis left parenthesis i i right parenthesis 3 x plus 3 left parenthesis 3000 right parenthesis plus z equals 23500 3 x plus z equals 14500 horizontal ellipsis left parenthesis v right parenthesis K i t a space d a p a t space m e n g e t a h u i space n i l a i space x space d a n space z space d e n g a n m e n y e l e s a i k a n space p e r s a m a a n space left parenthesis i v right parenthesis space d a n space left parenthesis v right parenthesis comma space d i p e r o l e h colon table row cell 4 x plus 3 z equals 23500 space space space space end cell row cell 3 x plus z equals 14500 space space space end cell end table open vertical bar table row cell cross times 1 end cell row cell cross times 3 end cell end table close vertical bar table row cell 4 x plus 3 z equals 23500 space space space space end cell row cell bottom enclose 9 x plus 3 z equals 43500 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 space space space minus 5 x equals negative 20000 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 4000 n i l a i space x equals 4000 space d i space s u b s 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 v right parenthesis comma d i p e r o l e h colon 3 x plus z equals 14500 space 3 left parenthesis 4000 right parenthesis plus z equals 14500 12000 plus z equals 14500 z equals 2500 D e n g a n space d e m i k i a n space h a r g a space b u k u colon space x equals R p 4.000 comma 00 comma h a r g a space p u l p e n colon space y equals R p 3.000 comma 00 comma space d a n h a r g a space p e n s i l colon space z equals R p 2.500 comma 00. end style

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