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If y((3x-5)/2) =y and y#0, then x =

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If y((3x-5)/2) =y and y#0, then x = [#permalink] New post 03 Dec 2012, 03:04
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87% (01:29) correct 13% (00:42) wrong based on 373 sessions
If \(y(\frac{3x-5}{2}) =y\) and \(y\neq{0}\), then x =

(A) 2/3
(B) 5/3
(C) 7/3
(D) 1
(E) 4
[Reveal] Spoiler: OA
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Re: If y((3x-5)/2) =y and y#0, then x = [#permalink] New post 03 Dec 2012, 03:05
Expert's post
If \(y(\frac{3x-5}{2}) =y\) and \(y\neq{0}\), then x =

(A) 2/3
(B) 5/3
(C) 7/3
(D) 1
(E) 4

Since \(y\neq{0}\), then we can reduce the equation by it: \(\frac{3x-5}{2}=1\) --> \(3x-5=2\) --> \(x=\frac{7}{3}\).

Answer: C.
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Re: If y((3x-5)/2) =y and y#0, then x = [#permalink] New post 07 Dec 2012, 03:39
\(y(\frac{3x-5}{2}) =y\)
\(\frac{3x-5}{2}=1\)
\(3x-5=2\)
\(3x=7\)
\(x=7/3\)

Answer: 7/3
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Re: If y((3x-5)/2) =y and y#0, then x = [#permalink] New post 11 Sep 2014, 02:57
Walkabout wrote:
If \(y(\frac{3x-5}{2}) =y\) and \(y\neq{0}\), then x =

(A) 2/3
(B) 5/3
(C) 7/3
(D) 1
(E) 4



y((3x-5)/2)=y

y[((3x-5)/2) - 1)] = 0

since y <> 0

(3x-5)/2 -1 = 0

x= 7/3
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Re: If y((3x-5)/2) =y and y#0, then x = [#permalink] New post 16 Nov 2014, 12:32
Hey guys ... I'm just wondering .... Is this really a 600 level question ? It seems very easy to be in the 600. Can any one here make sure it is in 600 level ?

Thanks

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Re: If y((3x-5)/2) =y and y#0, then x = [#permalink] New post 16 Nov 2014, 12:36
Expert's post
shagalo wrote:
Hey guys ... I'm just wondering .... Is this really a 600 level question ? It seems very easy to be in the 600. Can any one here make sure it is in 600 level ?

Thanks

Posted from my mobile device Image


It's sub-600 level question, so below 600.
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Re: If y((3x-5)/2) =y and y#0, then x = [#permalink] New post 16 Nov 2014, 21:41
y((3x-5)/2)=y

since y not equal to zero

y((3x-5)/2)-y=0
y((3x-5)/2 - 1)=0
so (3x-5)/2 =1
x=7/3

Its C
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Re: If y((3x-5)/2) =y and y#0, then x = [#permalink] New post 20 Nov 2014, 00:42
y gets cancelled out in observation itself

\(\frac{3x-5}{2}=1\)

3x-5=2

3x=7

\(x=\frac{7}{3}\)

Answer = C
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Re: If y((3x-5)/2) =y and y#0, then x = [#permalink] New post 10 Dec 2014, 08:23
Why can you cancel out Y? What is the mathematic rule for that?
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Re: If y((3x-5)/2) =y and y#0, then x = [#permalink] New post 10 Dec 2014, 19:27
JoanBarneveld wrote:
Why can you cancel out Y? What is the mathematic rule for that?


Y is common factor of LHS & RHS, so cancels out in the first instance
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Re: If y((3x-5)/2) =y and y#0, then x =   [#permalink] 10 Dec 2014, 19:27
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