SOLUTION: what is /x-1/-1=7??

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Question 336299: what is /x-1/-1=7??
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

abs%28x-1%29-1=7 Start with the given equation


abs%28x-1%29=8 Add 1 to both sides.


Break up the absolute value (remember, if you have abs%28x%29=a, then x=-a or x=a)

x-1=-8 or x-1=8 Set the expression x-1 equal to the original value 8 and it's opposite -8




Now lets focus on the first equation x-1=-8


x=-8%2B1Add 1 to both sides


x=-7 Combine like terms on the right side






Now lets focus on the second equation x-1=8



x=8%2B1Add 1 to both sides


x=9 Combine like terms on the right side





So the solutions to abs%28x-1%29-1=7 are:

x=-7 or x=9



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Jim