SOLUTION: [11+2x]=5, [8x+1]=23, [1/2x-3]=2 how do i solve these equations?

Algebra ->  Algebra  -> Absolute-value -> SOLUTION: [11+2x]=5, [8x+1]=23, [1/2x-3]=2 how do i solve these equations?       Log On

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Question 50955This question is from textbook
: [11+2x]=5, [8x+1]=23, [1/2x-3]=2 how do i solve these equations?
This question is from textbook

Answer by stanbon(57387) About Me  (Show Source):
You can put this solution on YOUR website!
If you had |x|=3 you would know that x=3 or x=-3
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Similarly if[11+2x]=5 then 11+2x must be 5 or it must be -5, so:
if 11+2x=5
then 2x=-6
and x=-3
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if 11+2x=-5
then 2x=-16
and x=-8
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SOLUTION:
x=-3 or -8
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The following problems follow the same pattern.
[8x+1]=23, [1/2x-3]=2
Cheers,
Stan H.