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

Question

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 ɪɴꜰᴏʀᴍᴀᴛɪᴏɴ ɢɪᴠᴇɴ.

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Claire 11 months 2021-07-07T16:56:21+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-07-07T16:57:26+00:00

    Answer:

    \huge\color{yellow}\boxed{\colorbox{black}{ANSWER}}

    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.

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