Find the values of x in the following equation: |9x + 9| = 18

- anonymous

Find the values of x in the following equation: |9x + 9| = 18

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- skullpatrol

Do you want learn how to work with absolute values?

- anonymous

I just don't get it. >.<

- skullpatrol

Let me start with the definition:
absolute value: The positive number of any pair of opposite nonzero real numbers is the absolute value of each number in the pair.

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- skullpatrol

This definition is stating that the absolute value is a POSITIVE number.

- skullpatrol

Let me show you with your question how to apply this definition.

- anonymous

Ah. I see. Thank you very much for helping me. I appreciate it. Continue, please. :3

- skullpatrol

|dw:1361364277172:dw|

- anonymous

See here http://www.wolframalpha.com/input/?i=abs%28x%29

- skullpatrol

Can you solve the equation $$9x +9 =18$$

- skullpatrol

Similarly we use the same argument for the opposite of 18 or -18....

- anonymous

With 9x + 9 = 18, the "x" stands for 3, right? :o

- skullpatrol

does 9(3) + 9 =?= 18

- skullpatrol

27 + 9
=36 =/=18

- ParthKohli

Think of it this way:|dw:1361365016230:dw|

- anonymous

So... The answer is 18x?

- skullpatrol

No, try and solve for x in $$9x + 9 = 18$$

- skullpatrol

|dw:1361365237300:dw|

- skullpatrol

@AriannaA Do you follow what I just did?

- anonymous

I'm really confused now.

- skullpatrol

Concentrate on ONLY solving the equation. Subtract 9 from both sides, then divide both sides by 9

- skullpatrol

|dw:1361365682344:dw|

- anonymous

|dw:1361365739823:dw|

- anonymous

What you have to do Arianna is get X by itself
9x + 9=18
To get this by itself you have to remove things from around the x.
9x + 9 = 18 What ever you do to the left side of the = sign you have to do to the right
let em show you
9x + 9 = 18
- 9 - 9
---------------
9x + 0= 9
/9 /9 /=divide
1x + 0 = 1
-------------
We read this as x = 1 so the answer is x = 1
now plug 1 into x
9(1) + 9 = 19
9 + 9 = 18
18=18 this is true

- anonymous

9x+9=18 and 9x+9=-18 this is taken from definition of the absolute value.

- anonymous

So 18=18 is the answer? I'm sorry if I'm being difficult.

- anonymous

x = 1 is the answer

- anonymous

you have to solve for x
because x is the only thing we do not know here.

- anonymous

Oh. I see. :o

- anonymous

Do you understand how I got this answer?

- skullpatrol

Do you want me to continue?

- skullpatrol

@AriannaA Are you still there?

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