anonymous
  • anonymous
solve for x 8-11x=5+4/3(2-x) 4/3 is a fraction read 4 3rds
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Owlfred
  • Owlfred
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anonymous
  • anonymous
when solving this, x becomes a decimal point not a whole number. is that what you are asked for?
anonymous
  • anonymous
i just need to solve for x i know it will be a fraction, decimal, or whatever. This problem is driving me nuts!

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anonymous
  • anonymous
i got \[x=\frac{-1}{37}\]
anonymous
  • anonymous
steps??
anonymous
  • anonymous
Is the equation this? \[8-11x=5+\frac{4}{3}(2-x) \]
anonymous
  • anonymous
yes
anonymous
  • anonymous
The first thing I would do is multiply both sides by 3 to get rid of the fraction.
anonymous
  • anonymous
thats where im stuck what exactly do I multiply by 3?
anonymous
  • anonymous
Everything.
anonymous
  • anonymous
\[8-11x=5+\frac{4}{3}(2-x)\]\[\implies 3[8-11x] = 3[5+\frac{4}{3}(2-x)]\]
anonymous
  • anonymous
\[8-11x=5+\frac{4}{3}(2-x)\] distribute \[\frac{4}{3}\] so it equals to \[8-11x=5+\frac{8}{3}-\frac{4}{3}x\] in one step i added \[(5+\frac{4}{3}) \] and -11x from left to right we get the following \[8=\frac{23}{3}-\frac{37}{3}x\] \[subtract \frac{23}{3} \to both sides\] \[\frac{1}{3}=-\frac{37}{3}x\] then divide.
anonymous
  • anonymous
That works too, but lots of fractions that way.
anonymous
  • anonymous
polpak, i solved it this way. I like fractions.
anonymous
  • anonymous
ok...
anonymous
  • anonymous
Yo dawg. I herd you liek fractions so I put some fractions in your fractions so you can divide when you divide.
anonymous
  • anonymous
;)
anonymous
  • anonymous
:)
anonymous
  • anonymous
Jwaddell, do you like fractions?
anonymous
  • anonymous
i hate them they cause issues like this
anonymous
  • anonymous
Jwaddell no matter what way you solve it. The answer is the same. if you want to. polpak or my self could help you solve by getting rid of fractions first.
anonymous
  • anonymous
Ok, well if you multiply both sides of the equation you will rid yourself of the fraction.
anonymous
  • anonymous
everyway ive tried comes out different
anonymous
  • anonymous
multiply by 3.
anonymous
  • anonymous
\[3[8−11x]=3[5+{4\over 3}(2−x)]\]
anonymous
  • anonymous
So distribute the 3 on the left and you get: 24 - 33x = 15 + 4(2-x)
anonymous
  • anonymous
got that
anonymous
  • anonymous
Ok, so now distribute the 4 on the right hand side
anonymous
  • anonymous
What have you got?
anonymous
  • anonymous
24-33x=15+8-4x
anonymous
  • anonymous
Perfect. Now combine the 15 + 8
anonymous
  • anonymous
k
anonymous
  • anonymous
23
anonymous
  • anonymous
Ok so you have \[24 - 33x = 23 - 4x\] So lets add 33x to both sides.
anonymous
  • anonymous
yes
anonymous
  • anonymous
24=23-37x???
anonymous
  • anonymous
Nope.. -4x + 33x = ?
anonymous
  • anonymous
or is it -4+33 to = 29x
anonymous
  • anonymous
yes
anonymous
  • anonymous
k
anonymous
  • anonymous
So we have 24 = 23 + 29x Now we subtract 23 from both sides.
anonymous
  • anonymous
so then 1=29x
anonymous
  • anonymous
Right!
anonymous
  • anonymous
1/29=x
anonymous
  • anonymous
Yep
anonymous
  • anonymous
Perhaps beehive should not like fractions so much ;p
anonymous
  • anonymous
i guess so. I hurry a lot too much.
anonymous
  • anonymous
thank you!!!!
anonymous
  • anonymous
very welcome. Be sure to review what we did so you can understand how to do it again in the future.
anonymous
  • anonymous
i will

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