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who is TT ?

TuringTest

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

-4

good job that was basic

I have been studying basic algebra.

x^2*x^3

x^5

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

(x^3)^2

x=7+y

Anikate, he meant me.

FFM give me another one

oh ok...

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

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

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

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

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

Excuse me?

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

Were you just calling me stupid?

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

Its a line that states values of variables, i guess

Hm. Let me explain.

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

I know that

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

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

yadda yadda, i know all that.

Good :D

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

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

Yeah.

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

So whats a constant?

How could we do that ?

constant is something which value is fixed.

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

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

Oh you want me to use both equations?

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

Cause the b's cancel eachother out

yes.

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

a=10*

Good, now what about b ?

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

no, you need to subtract this time

Subtract what exactly?

a+b-a+b=9-11

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

second equation from the first.

Oh i see, this si the second one?

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

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

See? I can do this!

Very good :)

:D

Gimme something harder!

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

Divide both sides by x, right so far?

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

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

Im sorry, i havent studied factoring yet :/

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

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