AriannaA
Find the values of x in the following equation: |9x + 9| = 18
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skullpatrol
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Do you want learn how to work with absolute values?
AriannaA
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I just don't get it. >.<
skullpatrol
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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.
skullpatrol
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This definition is stating that the absolute value is a POSITIVE number.
skullpatrol
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Let me show you with your question how to apply this definition.
AriannaA
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Ah. I see. Thank you very much for helping me. I appreciate it. Continue, please. :3
skullpatrol
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|dw:1361364277172:dw|
skullpatrol
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Can you solve the equation $$9x +9 =18$$
skullpatrol
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Similarly we use the same argument for the opposite of 18 or -18....
AriannaA
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With 9x + 9 = 18, the "x" stands for 3, right? :o
skullpatrol
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does 9(3) + 9 =?= 18
skullpatrol
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27 + 9
=36 =/=18
ParthKohli
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Think of it this way:|dw:1361365016230:dw|
AriannaA
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So... The answer is 18x?
skullpatrol
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No, try and solve for x in $$9x + 9 = 18$$
skullpatrol
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|dw:1361365237300:dw|
skullpatrol
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@AriannaA Do you follow what I just did?
AriannaA
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I'm really confused now.
skullpatrol
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Concentrate on ONLY solving the equation. Subtract 9 from both sides, then divide both sides by 9
skullpatrol
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|dw:1361365682344:dw|
viniterranova
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|dw:1361365739823:dw|
coreymacg
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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
viniterranova
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9x+9=18 and 9x+9=-18 this is taken from definition of the absolute value.
AriannaA
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So 18=18 is the answer? I'm sorry if I'm being difficult.
coreymacg
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x = 1 is the answer
coreymacg
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you have to solve for x
because x is the only thing we do not know here.
AriannaA
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Oh. I see. :o
coreymacg
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Do you understand how I got this answer?
skullpatrol
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Do you want me to continue?
skullpatrol
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@AriannaA Are you still there?