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What is the value of x?

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Math Expert
Joined: 02 Sep 2009
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What is the value of x?  [#permalink]

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19 Feb 2016, 03:42
2
3
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15% (low)

Question Stats:

76% (00:44) correct 24% (00:54) wrong based on 178 sessions

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What is the value of x?

(1) 4x = 2y − 6
(2) (y - 3)/2 = x

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Marshall & McDonough Moderator
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Re: What is the value of x?  [#permalink]

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19 Feb 2016, 06:41
1
x = ?
St1: 4x = 2y - 6
y - 2x = 3 --> Not sufficient to find the value of x

St2: y - 3 = 2x --> y - 2x = 3 --> Same as St1 and hence not sufficient.

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Re: What is the value of x?  [#permalink]

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19 Feb 2016, 08:08
1
Statement 1: 4x = 2y − 6 ==> x = 2(y-3)/4 ==> x = (y-3)/2 [ x value cannot be calculated as the value of "y" is unknown]

Statement 2: (y - 3)/2 = x [ x value cannot be calculated as the value of "y" is unknown]

As both the statements give the same equation for x, we will not be able to calculate the value of x.

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Re: What is the value of x?  [#permalink]

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27 Jan 2017, 08:50
1
1, 4x = 2Y-6
2X-Y + 3 = 0
2X - Y = -3
IS
2, Y-3 = 2X
2X-Y = 3
x = 1 or x = 2
IS
3, On solving two equations
2x - y = 9
IS
E
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Re: What is the value of x?  [#permalink]

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29 Jan 2017, 10:25
Statement 1: Value of "Y" is unkwown. x= 2y-6/4 . Insufficient
Statement 2" Value of "Y" is unkwown. x=y-3/2 . Insufficient
Now to check if option C is valid and whether we can find "x" with both statements together . Comparing both the linear equations we find a1/a2=b1/b2=c1/c2 i.e 4/2=2/1=6/3 .This condition indicates that equation has no solution.
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What is the value of x?  [#permalink]

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08 Jul 2017, 11:33
1
1
Bunuel wrote:
What is the value of x?

(1) 4x = 2y − 6
(2) (y - 3)/2 = x

Kudos for correct solution.

What is the value of x?

$$(1)$$$$4x = 2y − 6$$

We cannot determine the value of x as we are un-aware of the value of y neither it can be computed with given equation.

Hence, (1) ===== is NOT SUFFICIENT

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

We cannot determine the value of x as we are un-aware of the value of y neither it can be computed with given equation.

Hence, (2) ===== is NOT SUFFICIENT

Combining (1) & (2)

Lets substitute value of (2) in (1)

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

$$4x = 2y − 6$$ =====> (1)

$$4 * \frac{(y-3)}{2} = 2y - 6$$

$$2 * (y-3) = 2y - 6$$

$$2y - 6 = 2y - 6$$

As both the sides of the equation are same, we cannot determine the value of the x

Hence, (1) & (2) ===== is NOT SUFFICIENT

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Re: What is the value of x?  [#permalink]

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08 Jul 2017, 11:36
Both the equations are same. hence E
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Re: What is the value of x?  [#permalink]

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01 Nov 2018, 08:33
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Re: What is the value of x?   [#permalink] 01 Nov 2018, 08:33
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