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you should have the confidence to so these on your own now
you got this from flvs
so before we start we have to know what type of equation this is
the type of brackets are a dead give away because it shows us it is a absolute value equation
since we now know it is a absolute value equation we know you can only have 2 answers
When dealing with absolute equations you know you are going to have a + and a -. For instance 3|x − 8| + 15 = 18 Subtract 15 from both sides of the equal sign. 3|x − 8| + 15 = 18 3|x − 8| + 15-15 = 18 - 15 3|x − 8| = 3 Now divide 3|x − 8| = 3 by three on each side of the equal sign. 3|x − 8| /3 = 3 /3 |x − 8| = 1 Now we have |x − 8| = 1 but we also have |x − 8| = -1 notice the - 1. When dealing with absolute equations like this you will have a + and a - Now just solve these two equations |x − 8| = 1 and |x − 8| = -1
why did you give the answer
@Matt_J02 I did not. He / she still needs to finish it.
I helped show her or him how to break it down because he or she might be having trouble in breaking down the equation to a form she or he can work with.
3|x − 8| + 15 = 18 subtract 15 from both sides 3|x - 8| = 3 divide both sides by 3 |x - 8| = 1 solve the 2 equations x - 8 = 1 and x - 8 = -1
@Nixy - you need to remove the mod lines around the x - 8
I was leaving that for them to do :-) @welshfella
nevertheless it could confuse them at that stage
@welshfella maybe but I would hope they can at least remove them at this stage in their study.
- oh ok - i guess it was a deliberate mistake on your part.
@welshfella Not a mistake at all. Lets just take it a step further so he or she is not perplexed. I mean if he or she cannot remove absolute bars I am sure he or she cannot solve x-8 = 1 and x-8 = -1 x-8 = 1 and x-8 = -1 Now add 8 to each side of the equation |x-8| = 1 x-8 = 1 x - 8+8 =1 + 8 x = 9 |x-8| = -1 x-8 = -1 x-8+8 = -1+8 x= 7
nevertheless writing |x - 8! = -1 is an incorrect statement
@welshfella it is not if you remove the bars, which is the simplest thing to do in this problem....I was showing the user a process . Nitpick much? Also, you stated |x - 8! = -1. You should use a bar | and not an ! mark. I might not understand what you mean when you stat |x - 8! = -1 ...... Rolls eyes
its not nitpicking at all and typos are easily made the fact is x - 8 = -1 does not follow from |x - 8| = -1
@welshfella ok, whatever. Have a good day........Roll eyes