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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] New post 04 Mar 2017, 08:18
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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] New post 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] New post 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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