x+{y-3-4x+2[3x-(-y-1)+2y]-3x} = ?

- anonymous

x+{y-3-4x+2[3x-(-y-1)+2y]-3x} = ?

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- anonymous

i am having a little trouble solving this one

- TuringTest

one thing is that it's a lot easier on the eyes if you don't use caps

- anonymous

wow can you explain how to do that

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## More answers

- anonymous

x+{y-3-4x+2[3x-(-y-1)+2y]-3x} = ?

- TuringTest

I edited your post for you :)
anyway, we work here from the inside out
so what is the first (innermost) operation?

- anonymous

i saw that

- anonymous

(-y-1)

- TuringTest

right, and there's not much we can do with that...
so on to the next step
we now look at it as\[3x-(-y-1)+2y\]do you know how to simplify this?

- anonymous

i believe it is 3x+y+1+2y
then
3x+2y+1

- TuringTest

yep :)

- anonymous

i meant 3y

- TuringTest

ph, so did I lol

- TuringTest

so what is the next step outside of that?

- anonymous

3x+3y+1

- TuringTest

x+{y-3-4x+2[3x-(-y-1)+2y]-3x}
and we got that now to be
x+{y-3-4x+2[3x+3y+1]-3x}
so what is the innermost step we should do
(careful on this one)

- anonymous

{y-3-4x+2[3x+3y+1]-3x}

- anonymous

right?

- TuringTest

almost.... and that can work, but we can make it even simpler
the first thing to be done (the innermost operation) is to distribute the 2:
2[3x+3y+1]

- anonymous

yah i know thats what i meant

- TuringTest

good
so simplify that and tell me what you get

- anonymous

ok we will see?

- anonymous

2[3x+3y+1]
which is
6x +6y +2

- TuringTest

good, so now substitute that into the next outer expression
(the one you wrote before)

- anonymous

ok

- anonymous

x+y-3-4x+6x +6y +2-3x

- TuringTest

great, and now we simplify that....

- anonymous

ok

- anonymous

+7y - 1?

- anonymous

am i right?

- TuringTest

no be more careful with your like terms
what are just all the x's added up?

- TuringTest

oh wait I'm sorry I mistyped my own paper
(mulitptasking)

- anonymous

:( my book says i am right

- TuringTest

oh I see you took the last step already which is to add the final outer x
well good job, yes, that is the final answer

- anonymous

ok well can we try one more to make sure i learned everything well. if not thats fine you earned your medal?

- TuringTest

I'm never in it for the medals :)
but you're still supposed to post separate each Q as per the code of conduct
In this case we can do one more quickly here
as I said, I'm multitasking

- anonymous

ok lol i guess i wouldnt be in the medals either if i had your score

- anonymous

ok next one

- TuringTest

go ahead

- anonymous

6+{-a-3[b+6(a-b)+4a]-2b=?

- TuringTest

where to the brackets close {} ?
(you forgot the right one)

- TuringTest

where do*....

- anonymous

oh my bad after 2b

- anonymous

6+{-a-3[b+6(a-b)+4a]-2b}=?

- TuringTest

so what is the first innermost operation?

- anonymous

a-b

- TuringTest

right, but we can't simplify that, so what's the next outer operation
(again, like last time, be careful here)

- anonymous

6+{-a-3[b+6(a-b)+4a]-2b}=?
then
[b+6a-6b+4a]

- TuringTest

yes

- TuringTest

continue

- anonymous

ok so now
6+{-a-3[b+6a-6b+4a]-2b}=?
then
[10a-5b]
then
-3[10a-5b]=
-30a+15b

- TuringTest

so far so good

- anonymous

so now we have
6+{-31a+17b}=?
solve it now
6-31a+17b
fix it up a bit...
-31a+17b+6
am I right ,am I ,am I?

- anonymous

wait

- anonymous

6+{-31a+13b}=?
solve it now
6-31a+13b
fix it up a bit...
-31a+13b+6
am I right ,am I ,am I?

- anonymous

check that out

- TuringTest

yep, that's right :)

- anonymous

alright thank you very much for your time

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