anonymous
  • anonymous
What is ax + z = aw − y , for a?
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Astrophysics
  • Astrophysics
You can do the following \[z+y=aw-ax\] notice I added y on both sides and subtracted ax from both sides, now you can factor out an a.
Astrophysics
  • Astrophysics
Any idea how?
anonymous
  • anonymous
No

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anonymous
  • anonymous
Well yes
Astrophysics
  • Astrophysics
\[z+y=a(w-x)\] Notice since the left side both share an a
Astrophysics
  • Astrophysics
right side*
anonymous
  • anonymous
But how did you get z+y
anonymous
  • anonymous
and not -y-z
Astrophysics
  • Astrophysics
Oh I added +y instead of subtracting both sides by z just to make it look cleaner
anonymous
  • anonymous
But is subtracting both sides by z okay
Astrophysics
  • Astrophysics
Does that make sense? |dw:1444601291806:dw|
Astrophysics
  • Astrophysics
Yup, that's fine!
Astrophysics
  • Astrophysics
With what you did, you should get \[ax-aw=-z-y\]
anonymous
  • anonymous
but I got a = -y-z/x-w
anonymous
  • anonymous
is that right?
Astrophysics
  • Astrophysics
Yes!
anonymous
  • anonymous
really?!
anonymous
  • anonymous
it's not a = y+z/x-w
Astrophysics
  • Astrophysics
\[ax-aw=-z-y \implies a(x-w) = -z-y \implies a = \frac{ -z-y }{ x-w }\] that's perfect :)
anonymous
  • anonymous
??
anonymous
  • anonymous
How?
Astrophysics
  • Astrophysics
\[a = \frac{ -z-y }{ x-w }\] or \[a = \frac{ z+y }{ w-x }\] notice if you multiply the first equation by -1 you get the second equation, try to convince yourself by trying it
anonymous
  • anonymous
Do 2 negatives always = a positive in algebra?
Astrophysics
  • Astrophysics
yes :)
anonymous
  • anonymous
Even if they are not side by side
anonymous
  • anonymous
?
Astrophysics
  • Astrophysics
What do you mean
anonymous
  • anonymous
like -5-5
anonymous
  • anonymous
or is it only for variables?
Astrophysics
  • Astrophysics
Oh there you're just adding -(5+5) = -(10) = -10
Astrophysics
  • Astrophysics
Or subtracting by -5 how ever you like
Astrophysics
  • Astrophysics
-5-5 = -10
anonymous
  • anonymous
yeah
Astrophysics
  • Astrophysics
Unless you mean (-5)(-5) = 25
anonymous
  • anonymous
but how does -y-z = a positive?
Astrophysics
  • Astrophysics
-5x-5 = 25
Astrophysics
  • Astrophysics
(-y-z)*-1 = y+z
anonymous
  • anonymous
How did you get -1? Was it from factoring the two a's in the equation?
Astrophysics
  • Astrophysics
Oh no I was trying to show you that the first equation is same as the second, all you have to do is multiply by -1, algebra doesn't care :P So the way I did your problem was basically the same way except I moved things differently, |dw:1444602003999:dw|
anonymous
  • anonymous
so it could come out either way and be right?
Astrophysics
  • Astrophysics
|dw:1444602123088:dw|
Astrophysics
  • Astrophysics
Yes
Astrophysics
  • Astrophysics
Now I'll do it again your way
anonymous
  • anonymous
k
Astrophysics
  • Astrophysics
|dw:1444602178558:dw|
anonymous
  • anonymous
Thank you so much!
Astrophysics
  • Astrophysics
Yw

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