## Inopeki 3 years ago TT or across, teach me some algebra!!!

1. FoolForMath

who is TT ?

2. Inopeki

TuringTest

3. Anikate

what is x in this equation? 6+x=2

4. Inopeki

-4

5. Anikate

good job that was basic

6. Inopeki

I have been studying basic algebra.

7. Anikate

x^2*x^3

8. Inopeki

x^5

9. FoolForMath

x+y=6 x-y=7 can you find the x and y?

10. Anikate

(x^3)^2

11. Anikate

x=7+y

12. Inopeki

Anikate, he meant me.

13. Inopeki

FFM give me another one

14. Anikate

oh ok...

15. FoolForMath

\( a+b=9 \) \( a-b=11 \) what is \( a \) and what is \(b\) ?

16. Inopeki

a=10 b=-1 or a=9-b b=9-a

17. FoolForMath

Okay .. do you understand the difference between variable and constant?

18. Inopeki

variable is something you put instead of a number, right?

19. FoolForMath

More importantly, do you understand what in earth an equation means?

20. Inopeki

Excuse me?

21. FoolForMath

Precisely, variable is something that varies, so yes you are right :)

22. Inopeki

Were you just calling me stupid?

23. FoolForMath

No,lol :D you misunderstand my tone :) So what is an equation ?

24. Inopeki

Its a line that states values of variables, i guess

25. FoolForMath

Hm. Let me explain.

26. FoolForMath

A equation has two parts, right hand side and left hand side.

27. Inopeki

I know that

28. FoolForMath

Anything right of the '=' sign is right hand side

29. Inopeki

I know, if you do something to the LHS you have to do the same to the RHS

30. Inopeki

31. FoolForMath

Good :D

32. FoolForMath

Hey, that's not the right attitude towards mathematics :)

33. FoolForMath

anyways back to the problem our hand: a+b=9 a−b=11

34. Inopeki

Yeah.

35. FoolForMath

we want to find a and b in terms of constants only.

36. Inopeki

So whats a constant?

37. FoolForMath

How could we do that ?

38. FoolForMath

constant is something which value is fixed.

39. Inopeki

Ok, so we can subtract a from both sides to get b on the top one, right?

40. FoolForMath

Why don't we add the equations? like this \[ a+b+a-b=9+11\]

41. Inopeki

Oh you want me to use both equations?

42. Inopeki

Well we can simplify that to a2=20, right?

43. Inopeki

Cause the b's cancel eachother out

44. FoolForMath

yes.

45. Inopeki

And for a we can just divide both sides by 2 getting x=10

46. Inopeki

a=10*

47. FoolForMath

Good, now what about b ?

48. Inopeki

a+b+a−b=9+11 a2 +b=20+b Am i doing alright so far?

49. FoolForMath

no, you need to subtract this time

50. Inopeki

Subtract what exactly?

51. FoolForMath

a+b-a+b=9-11

52. Inopeki

Is is (a+b)-(a+b) or without parenthesis?

53. FoolForMath

second equation from the first.

54. Inopeki

Oh i see, this si the second one?

55. FoolForMath

(a+b)-(a-b) without parentheses

56. Inopeki

a+b-a+b=9-11 2b=9-11 2b=-2 b=-1

57. Inopeki

See? I can do this!

58. FoolForMath

Very good :)

59. Inopeki

:D

60. Inopeki

Gimme something harder!

61. SimonS

If ax - a = x - 1 what is x equal to?

62. Inopeki

Divide both sides by x, right so far?

63. Inopeki

No wait, ax - a = x - 1 ax=x-1+a x=x-1 Im stumped

64. SimonS

First, bring all the x terms to one side, and everything else to the other.

65. Inopeki

Im sorry, i havent studied factoring yet :/

66. SimonS

Ok. Here's the solution ax - a = x - 1 ax - x - a = -1 ax - x = a - 1 x(a - 1) = a - 1 hence x = 1

67. Inopeki

Ok, youll have to give me another one tommorrow so i can try :D