1. ## Just Checking

Im just wondering if some this question is right?

|7 - x| = 9
|x| = 9 - 7
x = 2.

I was wondering if it would be a negitive 2 or a positive. Thanks!

2. Originally Posted by omgitzbella
Im just wondering if some this question is right?

|7 - x| = 9
|x| = 9 - 7
x = 2.

I was wondering if it would be a negitive 2 or a positive. Thanks!
This is not correct. To get rid of the absolute value bars, you need to square both sides of the equation:
$|7 - x| = 9$

$|7 - x|^2 = (7 - x)^2 = 81$

You take it from here. (And make sure to check your solutions back in the original equation.)

-Dan

3. Think of what $7-x$ can be if $|7-x|= 9$.

Obviously you can have $|-9|=9$ and $|9|=9$, so we can have:

$7-x=-9 \Rightarrow x = 16$

or

$7-x=9 \Rightarrow x = -2$

So the solutions are $x = 16, -2$

Thank you =)