1. ## Absolute Value Equations

Need help w/ an absolute value problem where a no. is placed outside the equation within the absolute value signs-what should I do first?

2. Originally Posted by TNB
Need help w/ an absolute value problem where a no. is placed outside the equation within the absolute value signs-what should I do first?
since you chose to be vague, the most i can tell you is that

$\displaystyle |x| = \sqrt{x^2} = \left \{ \begin{array}{lr} x & \mbox{ if } x \ge 0 \\ & \\ -x & \mbox{ if } x < 0 \end{array} \right.$

so you need to split your equation in two to account for the possible change in sign of what's in absolute values.

example. $\displaystyle |3x - 1| = 2$

$\displaystyle \Rightarrow 3x - 1 = 2 \mbox{ or } -(3x - 1) = 2$

and continue

3. It's like your final ex, save there's a number attached to the back end.

somthing like this...... 7

Sorry about the lack of detail. Just trying to speed things up.. Typing wise, anyhow.

4. Originally Posted by TNB
It's like your final ex, save there's a number attached to the back end.

somthing like this...... 7

Sorry about the lack of detail. Just trying to speed things up.. Typing wise, anyhow.
well, that's no problem. divide both sides by 7 first, you get

|3x - 1| = 2/7

then it is pretty much exactly like my example

5. ## Absolute value

In that case, do NOT multiply the 7 with the expression 3x - 1. That'll change the absolute value! Instead, divide 7 on both sides, and then proceed.

|3x - 1| = 2/7

Now proceed...

I hope that helps.

ILoveMaths07.

P.S. THIS IS MY FIRST POST!!!

6. Originally Posted by ILoveMaths07
P.S. THIS IS MY FIRST POST!!!
congrats!

7. ## Thank you Jhevon.

Much thanks. Couldn't really remember whether to subtract or divide.....

8. You can't subtract because it's $\displaystyle 7 * |3x - 1|$. You must divide the 7 on both sides.