Question

TT or across, teach me some algebra!!!

Answer 1

who is TT ?

Answer 2

TuringTest

Answer 3

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

Answer 4

-4

Answer 5

good job that was basic

Answer 6

I have been studying basic algebra.

Answer 7

x^2*x^3

Answer 8

x^5

Answer 9

x+y=6
x-y=7

can you find the x and y?

Answer 10

(x^3)^2

Answer 11

x=7+y

Answer 12

Anikate, he meant me.

Answer 13

FFM give me another one

Answer 14

oh ok...

Answer 15

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

Answer 16

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

Answer 17

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

Answer 18

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

Answer 19

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

Answer 20

Excuse me?

Answer 21

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

Answer 22

Were you just calling me stupid?

Answer 23

No,lol :D you misunderstand my tone :)

So what is an equation ?

Answer 24

Its a line that states values of variables, i guess

Answer 25

Hm. Let me explain.

Answer 26

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

Answer 27

I know that

Answer 28

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

Answer 29

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

Answer 30

yadda yadda, i know all that.

Answer 31

Good :D

Answer 32

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

Answer 33

anyways back to the problem our hand:

a+b=9
a−b=11

Answer 34

Yeah.

Answer 35

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

Answer 36

So whats a constant?

Answer 37

How could we do that ?

Answer 38

constant is something which value is fixed.

Answer 39

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

Answer 40

Why don't we add the equations?

like this \[ a+b+a-b=9+11\]

Answer 41

Oh you want me to use both equations?

Answer 42

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

Answer 43

Cause the b's cancel eachother out

Answer 44

yes.

Answer 45

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

Answer 46

a=10*

Answer 47

Good, now what about b ?

Answer 48

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

Answer 49

no, you need to subtract this time

Answer 50

Subtract what exactly?

Answer 51

a+b-a+b=9-11

Answer 52

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

Answer 53

second equation from the first.

Answer 54

Oh i see, this si the second one?

Answer 55

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

Answer 56

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

Answer 57

See? I can do this!

Answer 58

Very good :)

Answer 59

:D

Answer 60

Gimme something harder!

Answer 61

If
ax - a = x - 1

what is x equal to?

Answer 62

Divide both sides by x, right so far?

Answer 63

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

Answer 64

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

Answer 65

Im sorry, i havent studied factoring yet :/

Answer 66

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

Answer 67

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