anonymous
  • anonymous
Simplified version of x+2/y-3 + 3x-1/y-3.... is the corrrect answer 4x+1/y-3 ??? Medals
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
jim_thompson5910
  • jim_thompson5910
the original expression is this right? \[\Large \frac{x+2}{y+3} + \frac{3x-1}{y+3}\]
anonymous
  • anonymous
Yes
anonymous
  • anonymous
ya thats right

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jim_thompson5910
  • jim_thompson5910
you have the correct answer assuming you meant to write \[\Large \frac{4x+1}{y+3}\]
jim_thompson5910
  • jim_thompson5910
sorry for some reason, I wrote "y+3" when it should be "y-3". My bad
anonymous
  • anonymous
Thank you both!! And its okay thank you for your help!
jim_thompson5910
  • jim_thompson5910
no problem
anonymous
  • anonymous
Did i get this one right too? 3/x+1 + 4/x+1.... the answer is 7/x+1 ??
jim_thompson5910
  • jim_thompson5910
yes you did
jim_thompson5910
  • jim_thompson5910
Nice job
jim_thompson5910
  • jim_thompson5910
use parenthesis to indicate you are dividing by all of "x+1" `3/x+1` is NOT the same as `3/(x+1)`
jim_thompson5910
  • jim_thompson5910
\[\Large 3/x + 1 = \frac{3}{x} + 1\] \[\Large 3/(x + 1) = \frac{3}{x+1}\]
anonymous
  • anonymous
Im so sorry I didn't know! I'm new to this so I'm learning
jim_thompson5910
  • jim_thompson5910
that's ok
anonymous
  • anonymous
Am i correct for this problem also? 5x^2 - x(x-3) = 4x^2- 3x ??
jim_thompson5910
  • jim_thompson5910
you distributed incorrectly
jim_thompson5910
  • jim_thompson5910
|dw:1442454918377:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1442454929560:dw|
anonymous
  • anonymous
Oh okay! So it would be 4x^2+ 3x
jim_thompson5910
  • jim_thompson5910
yes
anonymous
  • anonymous
Also could you help me with a problem that I have no idea how to do? Its x-{-x+[-x-(x-1)]}
jim_thompson5910
  • jim_thompson5910
let's work from the inside and work our way outward
jim_thompson5910
  • jim_thompson5910
what is -(x-1) equal to?
anonymous
  • anonymous
-x+1 ?
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
replace the `-(x-1)` with `-x+1` and we go from this `x-{-x+[-x-(x-1)]}` to this `x-{-x+[-x-x+1]}`
anonymous
  • anonymous
Okay now where to from there?
jim_thompson5910
  • jim_thompson5910
-x-x+1 simplifies to ???
anonymous
  • anonymous
-x^2 +1 ??
jim_thompson5910
  • jim_thompson5910
no
jim_thompson5910
  • jim_thompson5910
you might be thinking of -x times x but instead it's -x minus x
anonymous
  • anonymous
0?
jim_thompson5910
  • jim_thompson5910
not quite
jim_thompson5910
  • jim_thompson5910
what is -1 -1 equal to
anonymous
  • anonymous
-2
jim_thompson5910
  • jim_thompson5910
think of it as I'm 1 dollar in debt. I spend another dollar. How much am I in debt?
jim_thompson5910
  • jim_thompson5910
yes 2 dollars in debt, so -2
jim_thompson5910
  • jim_thompson5910
similarly, -x-x = -2x
anonymous
  • anonymous
Oh okay
jim_thompson5910
  • jim_thompson5910
IF it was x-x, then yes it would be 0x = 0 but that first x isn't positive
anonymous
  • anonymous
I understand that part so now what do i solve?
jim_thompson5910
  • jim_thompson5910
so you agree that `x-{-x+[-x-x+1]}` becomes `x-{-x+[-2x+1]}`
anonymous
  • anonymous
Yes :)
jim_thompson5910
  • jim_thompson5910
the square brackets aren't doing anything so we can drop them `x-{-x+[-2x+1]}` turns into `x-{-x-2x+1}`
anonymous
  • anonymous
Alright
jim_thompson5910
  • jim_thompson5910
what would -x-2x+1 simplify to?
anonymous
  • anonymous
-3x+1 ??
jim_thompson5910
  • jim_thompson5910
yep
jim_thompson5910
  • jim_thompson5910
we now have x-{-3x+1}
jim_thompson5910
  • jim_thompson5910
what's next?
anonymous
  • anonymous
Would it be 3x^2 -x ???
jim_thompson5910
  • jim_thompson5910
maybe think of it as x-1*(-3x+1)
anonymous
  • anonymous
Help?
jim_thompson5910
  • jim_thompson5910
distribute the -1 through. Do you know how?
anonymous
  • anonymous
3x-1 ???
jim_thompson5910
  • jim_thompson5910
|dw:1442456228637:dw|
jim_thompson5910
  • jim_thompson5910
yes |dw:1442456250110:dw|
jim_thompson5910
  • jim_thompson5910
x-{-3x+1} turns into x+3x-1
anonymous
  • anonymous
So would the answer be 4x-1 ??
jim_thompson5910
  • jim_thompson5910
yep
anonymous
  • anonymous
Omg thank you so much for everything!!!
jim_thompson5910
  • jim_thompson5910
no problem
anonymous
  • anonymous
3x(x-2) -4x^2 = -x^2 -6x right?
jim_thompson5910
  • jim_thompson5910
correct

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