SOLUTION: How do i do |3x-1|+10=12 ?

Algebra ->  Absolute-value -> SOLUTION: How do i do |3x-1|+10=12 ?      Log On


   



Question 685951: How do i do |3x-1|+10=12 ?
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
How do i do |3x-1|+10=12 ?
First isolate the absolute value.
|3x-1|+10-10=12-10
|3x-1|=2
Then because the stuff inside of the absolute value can be + or - 2 to get 2, you set the inside equal to them both and solve 2 equations.
3x-1=-2 or 3x-1=2
3x-1%2B1=-2%2B1 or 3x-1%2B1=2%2B1
3x=-1 or 3x=3
3x%2F3=-1%2F3 or 3x%2F3=3%2F3
highlight%28x=-1%2F3%29 or highlight%28x=1%29
*****************************************************
It seems not to make sense to do that...but let's check to see that both answers are correct:
for x=-1/3
|3(-1/3)-1|+10=12
|-1-1|+10=12
|-2|+10=12
12=12 True....so x=-1/3 for sure.
for x=1
|3(1)-1|+10=12
|3-1|+10=12
|2|+10=12
2+10=12
12=12 True....so x also can = 1
Often teaches want set notation of x={-1/3,1}
Happy Calculating!!!