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What is the value of x?

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What is the value of x? [#permalink]

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New post 25 Mar 2015, 02:59
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A
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E

Difficulty:

  35% (medium)

Question Stats:

66% (01:14) correct 34% (01:36) wrong based on 226 sessions

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Kudos [?]: 139336 [3], given: 12783

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

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New post 25 Mar 2015, 05:31
Bunuel wrote:
What is the value of x?

(1) |6 - 3x| = x - 2

(2) |5x + 3| = 2x + 9

Kudos for a correct solution.


Statement 1:
6-3x=x-2
x=2

6-3x=-x+2
x=2
Sufficient

Statement 2:
5x+3=2x+9
x=2

5x+3=-2x-9
x= -12/7
Insufficient

Answer: A

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

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New post 26 Mar 2015, 02:32
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(1) |6 - 3x| = x - 2

x-2 must be positive => x>2 => ||6 - 3x|=3x-6 => Just have one value of x => Suff

|5x + 3| = 2x + 9

x must be over -9/2 => 5x+3 can be positive or negative => Having 2 values of x => Insufficient

=> Answer: A

Kudos [?]: 99 [1], given: 26

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

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New post 28 Mar 2015, 07:59
Bunuel wrote:
What is the value of x?

(1) |6 - 3x| = x - 2

(2) |5x + 3| = 2x + 9

Kudos for a correct solution.


Answer=A

1. 6-3X=X-2
X=2
OR
-6+3X=X-2
X=2. Statement 2 is sufficient
2. 5x+3=2x+9
x=2
OR
-5X-3=2X+9
7X=-12
X=-12/7. Statement 2 is Insufficient

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

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New post 30 Mar 2015, 02:59
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I simply solved the 2 eqs. is there any better sol?
My sol :
1) |6x-3| = 6x-3 or -6x+3.
Thus putting in eq 1 : 6x-3=x-2 gives x = 2. Similarly, -6x+3=x-2 gives x=2. Thus we get a value for x. SUFF.

2) |5x+3| = 5x+3 or -5x-3.
Solving Similarly I got 2 diff values of x = 2 or -12/7. Thus NS.

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

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New post 30 Mar 2015, 03:56
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Re: What is the value of x? [#permalink]

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New post 01 Jan 2018, 00:45
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Re: What is the value of x?   [#permalink] 01 Jan 2018, 00:45
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