Question

|3x|+8=9

Answer 1

\[|3x|=9-8=1\]
\[|x|=\frac{1}{3}\]
\[x=\frac{1}{3} \text{ or } x=\frac{-1}{3}\]

Answer 2

got it ! :)

Answer 3

^ The answer is correct but |x| does not equal 1/3..

It is |3x| = 1
3x = 1 or 3x = -1
x= 1/3 or x = -1/3

Answer 4

you have the right answer, but the second step is a bit incorrect

Answer 5

yeah denebel has it right

Answer 6

so its 1/3, -1/3

Answer 7

Yes

Answer 8

well actually if
\[|3x|=1\] the
\[|x|=\frac{1}{3}\] is correct

Answer 9

Check the properties of the absolute values:
http://en.wikipedia.org/wiki/Absolute_value

Specially the Multiplicativeness property. What I did is correct since we know that the value of the coefficient is positive. I don't mean to contradict you guys, but I've got a PhD and am pretty sure what i did is correct.

Answer 10

yes it is correct, since we know
\[|3x|=|3||x|=3|x|\]

Answer 11

but the answer is 1/3 or -1/3?

Answer 12

as we say on who wants to be a millionaire the "final answer" is
\[x=\frac{1}{3}\] or
\[x=-\frac{1}{3}\]

Answer 13

just type 1/3,-1/3 and you'll be fine

Answer 14

why does the absolute value of x=1/3?

Answer 15

ok, so im good.

Answer 16

because
\[|ab|=|a||b|\] and since
\[|3x|=|3||x|=3|x|=1\] we know that
\[|x|=\frac{1}{3}\]

Answer 17

very clear answer thanks