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If 5x – 8 = 12 and x = y + 3, then y

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taha1234
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If 5x – 8 = 12 and x = y + 3, then y [#permalink] New post   Updated on: 14 Sep 2021, 08:57
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If 5x – 8 = 12 and x = y + 3, then y =

A.\(\frac{4}{5}\)

B. 1

C. \(\frac{17}{5}\)

D. 4

E. 7

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Question from Official Practice exam 3
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B

Originally posted by taha1234 on 14 Sep 2021, 08:17.
Last edited by taha1234 on 14 Sep 2021, 08:57, edited 1 time in total.
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BrentGMATPrepNow
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Re: If 5x – 8 = 12 and x = y + 3, then y [#permalink] New post   14 Sep 2021, 08:24
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taha1234 wrote:
If 5x – 8 = 12 and x = y + 3, then y =

A.\(\frac{4}{5}\)

B. 1

C. \(\frac{17}{5}\)

D. 4

E. 7


Given: 5x – 8 = 12
Replace x with y + 3 (since we're told x = y + 3) to get: 5(y + 3) – 8 = 12
Add 8 to both sides: 5(y + 3) = 20
Divide both sides by 5 to get: y + 3 = 4
Subtract 3 from both sides: y = 1

Answer: B
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SalahT
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Re: If 5x – 8 = 12 and x = y + 3, then y [#permalink] New post   14 Sep 2021, 08:46
equation 1:
5x-8=12
=>5x=20

equation 2:
x=y+3
=>5x= 5y + 15 (multiplied 5 to both sides)
=>20=5y+15 (from equation 1)
=>5y=5
=>y=1
IMO answer is B
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taha1234
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Re: If 5x – 8 = 12 and x = y + 3, then y [#permalink] New post   17 Sep 2021, 03:37
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Bunuel
Please give the tag. This is from Gmat prep.
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Re: If 5x – 8 = 12 and x = y + 3, then y [#permalink] New post   17 Sep 2021, 03:48
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taha1234 wrote:
Bunuel
Please give the tag. This is from Gmat prep.


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Thank you! Added the tag.
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Re: If 5x – 8 = 12 and x = y + 3, then y [#permalink]
17 Sep 2021, 03:48
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