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OG 12 Algebra First-degree equation Question 70

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Manager
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OG 12 Algebra First-degree equation Question 70 [#permalink] New post 22 Dec 2010, 16:28
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

71% (01:30) correct 29% (00:27) wrong based on 51 sessions
if \(y\frac{3x-5}{2}=y\) and y is different from 0, then \(x=\)
A) \(\frac{2}{3}\)
B) \(\frac{5}{3}\)
C) \(\frac{7}{3}\)
D) 1
E) 4

Reasoning, see the spoiler part:

[Reveal] Spoiler:
I got it wrong because when I did the calculation I swapped y on the right hand side to the left hand side to get \((3x-5)/2=0\) and then obviously I got the answer B rather than the OA C. I understand the OA however I would like to ask my silly question, which is why can I not do the way I did it. Is it wrong? It must be but WHY?


Thank you for enlightening me. I searched for the topic in the forum and I could not find it. Apologise if it has been created in the past.
[Reveal] Spoiler: OA
Expert Post
Ms. Big Fat Panda
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Re: OG 12 Algebra First-degree equation Question 70 [#permalink] New post 22 Dec 2010, 16:39
Expert's post
Burnkeal wrote:
if \(y\frac{3x-5}{2}=y\) and y is different from 0, then \(x=\)
A) \(\frac{2}{3}\)
B) \(\frac{5}{3}\)
C) \(\frac{7}{3}\)
D) 1
E) 4

Reasoning, see the spoiler part:

[Reveal] Spoiler:
I got it wrong because when I did the calculation I swapped y on the right hand side to the left hand side to get \((3x-5)/2=0\) and then obviously I got the answer B rather than the OA C. I understand the OA however I would like to ask my silly question, which is why can I not do the way I did it. Is it wrong? It must be but WHY?


Thank you for enlightening me. I searched for the topic in the forum and I could not find it. Apologise if it has been created in the past.


\(y\frac{3x-5}{2}=y\)

\(y (\frac{3x-5}{2} -1) = 0\), and hence \(\frac{3x-5}{2} = 1\) and hence \(x = \frac{7}{3}\)

The mistake you made was equating it to zero. If you cancel y on both sides (which you can, since its not zero), the right hand side will be 1, not 0. Hope its clear.
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Re: OG 12 Algebra First-degree equation Question 70 [#permalink] New post 22 Dec 2010, 16:44
haha! I just got it. What a numb! Thanks for that. I just took Y to the other side rather than cancelling it out -____-
Expert Post
Ms. Big Fat Panda
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Re: OG 12 Algebra First-degree equation Question 70 [#permalink] New post 22 Dec 2010, 16:55
Expert's post
Well, technically, so did I. You just equated the wrong thing to zero :)
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Re: OG 12 Algebra First-degree equation Question 70 [#permalink] New post 18 Nov 2011, 11:59
This Q shows how test makers create all other (wrong) answer choices. Each one is there to catch us for a particular miscalculation.
Re: OG 12 Algebra First-degree equation Question 70   [#permalink] 18 Nov 2011, 11:59
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