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

Question

If  y(\frac{3x-5}{2}) =y  and  y
eq{0} , then x =

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

Bunuel · Accepted Answer

If  y(\frac{3x-5}{2}) =y  and  y
eq{0} , then x =

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

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

Answer: C.

mbaiseasy · Answer

y(\frac{3x-5}{2}) =y  
 \frac{3x-5}{2}=1 
 3x-5=2 
 3x=7 
 x=7/3

Answer: 7/3

luckyme17187 · Answer

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

y  = 0

since y <> 0

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

x= 7/3

shagalo · Answer

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

Bunuel · Answer

It's  sub -600 level question, so below 600.

akumar5 · Answer

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

PareshGmat · Answer

y gets cancelled out in observation itself

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

3x-5=2

3x=7

x=\frac{7}{3}

Answer = C

JoanBarneveld · Answer

Why can you cancel out Y? What is the mathematic rule for that?

PareshGmat · Answer

Y is common factor of LHS & RHS, so cancels out in the first instance

zeusac · Answer

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

3xy/2-5y/2 =y

3xy/2= 5y/2+y

3xy/2 = (5y+2y)/2

6xy = 10y + 4y

6xy= 14y

x= 14/6 =  7/3

ScottTargetTestPrep · Answer

https://i.imgur.com/NtXbduc.png

The answer is A.

(Note: We can divide both sides by y because it’s given that y does not equal 0. Otherwise, we couldn't divide both sides by y.)

BrentGMATPrepNow · Answer

We can also apply a technique I call   The Something Method

Given: y    = y 
We have y( something ) = y, so that  something  must equal 1
That is,  (3x-5)/2  = 1

If the fraction  (3x-5) /2 =1, then:  3x - 5  = 2
Add 5 to both sides to get: 3x = 7
Solve: x = 7/3

Answer: C

For more on the Something Method, watch this video:
 https://www.youtube.com/watch?v=mmTisgtNfTI

For extra practice, try this question: 
 https://www.youtube.com/watch?v=h-brI4pylRo

Cheers,
Brent

nkmungila · Answer

( 3x-5)/2 = y/y
3x - 5 = 2
3x = 7
x = 7/3

cman2010 · Answer

Hi Brunel - I am grateful for your participation and explanation of PS questions.

Question: does y =/= 0 mean that y is 1? or that y is simply not equal to zero?

Bunuel · Answer

y
eq{0}  means that y is not 0. It can be any other value. It's given so that we could reduce by y. If y were 0, then we could not reduce because we cannot divide by 0. y being 0, would also imply that  y(\frac{3x-5}{2}) =y  would hold true for any value of x, because  y(\frac{3x-5}{2})=0 =y  and we would not be able to solve for x.

Hope it's clear.

dave13 · Answer

Hi Bunuel i did this, i got correct answer but i doubt of my approach ... can you please point out where am i wrong y(\frac{3x-5}{2}) =y y(3x-5)=2y 3xy-5y=2y 3xy-5y-2y 3xy-7y 3xy =7y x=7y/3y (i got confused here, should i divide by 3y, or 3xy, or 3x

please advice ) many thanks

dave13 · Answer

Hi niks18 , can you advice if my solution is correct, and where from did Bunuel get 1 ? y(\frac{3x-5}{2}) =y \frac{y(3x-5)}{2}=y y3x-5y = 2y 3xy= 2y +5y now lets divide by 3y since we need to isolate x x= \frac{2y +5y}{3y} x= 7y/3y hence OA = C

niks18 · Answer

Hi  dave13

you solution is correct. you can also simply divide both sides of the equation y. So in the RHS y/y=1

rickyreign · Answer

Since y is not equal to 0 we can cancel out y
(3x-5)/(2)=1
solving gives us x=7/3 i.e C

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

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GMAT Problem Solving (PS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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My Rewards