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a fost răspuns

ᴅᴇᴛᴇʀᴍɪɴᴀᴛɪ ɴᴜᴍᴇʀᴇʟᴇ x,ʏ,ᴢ ɪɴᴠᴇʀs ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟᴇ ᴄᴜ ɴᴜᴍᴇʀᴇʟᴇ 5,6 sɪ 15,sᴛɪɪɴᴅ ᴄᴀ 3x-2ʏ-ᴢ=12. ᴠᴀ ʀᴏɢ ʀᴇᴘᴇᴅᴇ ᴅᴀᴜ ᴄᴏʀᴏᴀɴᴀ

Răspuns :

Srpalin

Răspuns:

x × 5 = y × 6 = z × 15 = K (constanta)

==> x = K/5; y= K/6; z= K/15

==> 3x-2y-z = 3K/5 - 2K/6 - K/15 = 12 / × 30

==> 30×3K/15 - 30×2K/6 - 30K/15 = 360

==> 6×3K - 5×2K - 2K = 360

==> 18K - 10K - 2k = 360

==> 6K = 360/:6 ==> K = 60

==> x= 60/5 = 12;

y= 60/6 = 10;

z=60/15 = 4

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