ɪꜰ 3x−ʏ=12, ᴡʜᴀᴛ ɪꜱ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏꜰ 8x 2ʏ ?

ᴀ) 212
ʙ) 44
ᴄ) 82
ᴅ) ᴛʜᴇ ᴠᴀʟᴜᴇ ᴄᴀɴɴᴏᴛ ʙᴇ ᴅᴇᴛᴇʀᴍɪɴᴇᴅ ꜰʀᴏᴍ ᴛʜᴇ

1 thought on “ɪꜰ 3x−ʏ=12, ᴡʜᴀᴛ ɪꜱ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏꜰ 8x 2ʏ ?<br /><br />ᴀ) 212 <br />ʙ) 44 <br />ᴄ) 82<br />ᴅ) ᴛʜᴇ ᴠᴀʟᴜᴇ ᴄᴀɴɴᴏᴛ ʙᴇ ᴅᴇᴛᴇʀᴍɪɴᴇᴅ ꜰʀᴏᴍ ᴛʜᴇ”

1. Answer:

   [tex]\huge\color{yellow}\boxed{\colorbox{black}{ANSWER}}[/tex]

   One approach is to express

   8x

   2y

   so that the numerator and denominator are expressed with the same base. Since 2 and 8 are both powers of 2, substituting 23 for 8 in the numerator of

   8x

   2y

   gives

   (23)x

   2y

   which can be rewritten

   23x

   2y

   Since the numerator and denominator of have a common base, this expression can be rewritten as 2(3x−y). In the question, it states that 3x−y=12, so one can substitute 12 for the exponent, 3x−y, which means that

   8x

   2y

   =212

   The final answer is A.

   Reply