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# If | x + 3| = 12 and x is a multiple of 5, what is

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If | x + 3| = 12 and x is a multiple of 5, what is [#permalink]  04 Mar 2017, 08:18
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Question Stats:

93% (00:29) correct 6% (00:00) wrong based on 15 sessions

If | x + 3| = 12 and x is a multiple of 5, what is the value of x ?

Enter your value

[Reveal] Spoiler: OA
-15

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Re: If | x + 3| = 12 and x is a multiple of 5, what is [#permalink]  10 Mar 2017, 17:06
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Explanation

To solve absolute value questions, create an equation for each sign:

$$x + 3 = 12$$ or $$x + 3 = -12$$

$$x = 9$$ or $$x = -15$$

The only value of x that is a multiple of 5 is –15.
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Re: If | x + 3| = 12 and x is a multiple of 5, what is [#permalink]  24 Mar 2017, 15:55
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Carcass wrote:

If |x + 3| = 12 and x is a multiple of 5, what is the value of x ?

There are 3 steps to solving equations involving ABSOLUTE VALUE:
1. Apply the rule that says: If |x| = k, then x = k and/or x = -k
2. Solve the resulting equations
3. Plug solutions into original equation to check for extraneous roots

So, if |x + 3| = 12, then EITHER x + 3 = 12 OR x + 3 = -12
If x + 3 = 12, then x = 9
If x + 3 = -12, then x = -15

So, x = 9 or x = -15
Since we're told x is a multiple of 5, we can conclude that x = -15
A quick check will verify that this solution is correct.

Answer:
[Reveal] Spoiler:
-15

Cheers,
Brent
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Re: If | x + 3| = 12 and x is a multiple of 5, what is   [#permalink] 24 Mar 2017, 15:55
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# If | x + 3| = 12 and x is a multiple of 5, what is

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