anonymous
  • anonymous
Solve the equation. Check for extraneous solutions. 6|6-4x|=8x+4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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OakTree
  • OakTree
Are you there, @mrivera3113?
anonymous
  • anonymous
Yes I have no idea how to this question I have been stuck on it for 3 days now. @OakTree
OakTree
  • OakTree
Okay. So we want to start by dividing by 6. What would you get?

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OakTree
  • OakTree
@mrivera3113? Do you know?
anonymous
  • anonymous
what do I divide 6 to?
OakTree
  • OakTree
Both sides of the equation.
anonymous
  • anonymous
I got |6-4x|=8x+.6666
OakTree
  • OakTree
Not quite. It should be\[\left| 6-4x \right| = \frac{ 4 }{ 3 }x + \frac{ 2 }{ 3 }\]Do you see why?
OakTree
  • OakTree
Should I give you the answers? Or do you want the explanation?
anonymous
  • anonymous
Explanation
OakTree
  • OakTree
Okay. So now that you have the equation above you would write\[6-4x = \frac{ 4 }{ 3 }x + \frac{2}{3}, 6-4x = -\frac{4}{3}x - \frac{2}{3}\]And solve both of those. Do you see why?
anonymous
  • anonymous
Yes
OakTree
  • OakTree
Great. So can you solve now?
anonymous
  • anonymous
Working it out right now.
OakTree
  • OakTree
Great. Get back to me when you have the answers - I'll tell you if you're right.
anonymous
  • anonymous
Can I have the explanation on how to do it and answer please.
OakTree
  • OakTree
The answers are \[x = {1, \frac{ 5 }{ 2 }}\]And as for the how, it's solving algebraic equations. You know, inverse operations?
anonymous
  • anonymous
Yes i do.
OakTree
  • OakTree
Great. So you get it?
anonymous
  • anonymous
Yes thank you soo much!
OakTree
  • OakTree
No problem. Glad to help.

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