anonymous
  • anonymous
Solve for x. 5x-1/4=6 What value of x makes the equation true?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Astrophysics
  • Astrophysics
\[\frac{ 5x-1 }{ 4 }=6\] like this?
anonymous
  • anonymous
yes

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Astrophysics
  • Astrophysics
You can cross multiply
Astrophysics
  • Astrophysics
\[5x-1 = 6(4)\] now solve for x
anonymous
  • anonymous
-19
Astrophysics
  • Astrophysics
No, not quite, how did you get that?
ikram002p
  • ikram002p
is the equation like this \(\Large 5x-\frac{1}{4}=6 \) or \(\Large \frac{5x-1}{4}=6 \) ??
anonymous
  • anonymous
the 2nd one
ikram002p
  • ikram002p
oh then gon on with @Astrophysics
Astrophysics
  • Astrophysics
When doing algebra, what you do to one side you must also do to the other, and to figure out what operation to do, just do the opposite of what already exists :) So see we have 5x-1 = 20 and we want to get x on its own. So first lets get rid of the -1, to do that as I mentioned above do the opposite operation of it and then do it to both left and right side as follow
Astrophysics
  • Astrophysics
|dw:1438606023527:dw| now what's next
Astrophysics
  • Astrophysics
Oh sorry I put 20 in the post above when it should be 24
anonymous
  • anonymous
you would do 24 *6?
Astrophysics
  • Astrophysics
Since we have 5x=25, notice how the 5 is "attached" to the x right? So that means it's being multiplied, so what's the opposite operation of multiplication?
anonymous
  • anonymous
divide
Astrophysics
  • Astrophysics
Exactly!
Astrophysics
  • Astrophysics
So now we just divide both sides by 5 :)
anonymous
  • anonymous
i got 4.8
Astrophysics
  • Astrophysics
\[5x=25 \implies x = \frac{ 25 }{ 5 }\]
Astrophysics
  • Astrophysics
Remember the +1, we had to add that to the 24
anonymous
  • anonymous
i got 5
Astrophysics
  • Astrophysics
Sounds good!

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