countonme123 3 years ago x+{y-3-4x+2[3x-(-y-1)+2y]-3x} = ?

1. countonme123

i am having a little trouble solving this one

2. TuringTest

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

3. countonme123

wow can you explain how to do that

4. countonme123

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

5. TuringTest

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

6. countonme123

i saw that

7. countonme123

(-y-1)

8. 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?

9. countonme123

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

10. TuringTest

yep :)

11. countonme123

i meant 3y

12. TuringTest

ph, so did I lol

13. TuringTest

so what is the next step outside of that?

14. countonme123

3x+3y+1

15. 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)

16. countonme123

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

17. countonme123

right?

18. 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]

19. countonme123

yah i know thats what i meant

20. TuringTest

good so simplify that and tell me what you get

21. countonme123

ok we will see?

22. countonme123

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

23. TuringTest

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

24. countonme123

ok

25. countonme123

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

26. TuringTest

great, and now we simplify that....

27. countonme123

ok

28. countonme123

+7y - 1?

29. countonme123

am i right?

30. TuringTest

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

31. TuringTest

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

32. countonme123

:( my book says i am right

33. 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

34. countonme123

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

35. 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

36. countonme123

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

37. countonme123

ok next one

38. TuringTest

39. countonme123

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

40. TuringTest

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

41. TuringTest

where do*....

42. countonme123

43. countonme123

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

44. TuringTest

so what is the first innermost operation?

45. countonme123

a-b

46. TuringTest

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

47. countonme123

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

48. TuringTest

yes

49. TuringTest

continue

50. countonme123

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

51. TuringTest

so far so good

52. countonme123

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?

53. countonme123

wait

54. countonme123

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

55. countonme123

check that out

56. TuringTest

yep, that's right :)

57. countonme123

alright thank you very much for your time