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are you familiar with matrices

kinda

well you can use the gaussian elimination

ok

meaning you use the elementary row operations

yea

2 4 3 | 6
3 5 6 | 3
2 3 4 | 8
subtract row 1 from row 3 and tell me what u get

ok one sec

0 -1 1 |2
is that right?

yeah.now divide row 1 by 2

ok the answer i have above isnt row one is it or is row one in the problem still?

no.it is still row 3.row one is ur original problem
2 4 3 | 6

ok

2/3 4/5 1/2 |2 right?

it is actually
1 2 3/2 | 3
get it?

how?

well u take the first row.and u divide by 2.then it changes from
2 4 3 |6
to
1 2 3/2 | 3

ohh! u divid by two not thr 2nd row :/lol now i got that ok

then your rows are now like this
1 2 3/2 | 3
3 5 6 | 3
0 -1 1 | 2

yea

sorry.
multipy row 1 by 3 the subtract it from row 2
the u have a reduced row 2

ok? one sec

when i subtract which number should be on top?

1 2 3/2 | 3
_ _ _ | _
0 -1 1 | 2
the only r0w that changes is row 2

yea,ok i get that so row to is now 3 8 9/2 |-3

3-(3X3) = 0
That is how u do it.

what?

then u get
1 2 3/2 | 3
0 -1 3/2 | -6
0 -1 1 | 2

ohh

ok then from there what do i do next ?

multiply row 2 by -1

ok

0 1 -3/2 |6

exactly

ok is this the answer or is the more?

1 2 3/2 | 3
0 1 -3/2 | 6
0 -1 1 |2
in row 1 u must eliminate 2
and in row 3 must eliminate -1.

why?

add row 3 and row 2 to get
1 2 3/2 |3
0 1 -3/2 |6
0 0 1/2 |-4
and u jst eliminated 1 from row 3

ok

sorry u jst eliminated -1 from row 3

then now we eliminate 2 from row 1

i figured u ment that

:)

do this row1-2(row2)

then u get
1 0 9/2 |-9
0 1 -3/2 | 6
0 0 1/2 |-4

getting this?

yea

basically u want to get to a point were u have
1 0 0 | ?
0 1 0 | ?
0 0 1 | ?

now divide row 3 by 1/2 (half)

ohh ok

1 |-2

what is 4 divided by half

oh 8

then u have
1 0 9/2 | -9
0 1 -3/2 | 6
0 0 1 | -8
what do u think u should do to eliminate 9/2?

2/9?

what about 2/9?

u mulitply?

remember you want it to be 0

on then subtract 9/2?

exactly

ok :)

what bout the numbers on the end?

so mentally multiply row 3 by 9/2

and then subtract it from row 1

what do u get for row1?

1 0 0 |1?

actually
1 0 0 |27

oh

now u got
1 0 0 | 27
0 1 -3/2 |6
0 0 1 |-8

u must now eliminate -3/2.how do u think u do that?

yes

how do you think u can do it?

plus 3/2

sure.which row can u use to eliminate it?

good.how do u do that?

idk

multiply row3 by 3/2 and add it to row2

ok

that way 1 becomes 3/2
and you can add that to row 2.the -3/2 + 3/2 = 0 which eliminates 3/2

yea

then u have
1 0 0 |27
0 1 0 |-6
0 0 1 |-8
what is ur x,y and z?

27,-6,-8?

yes

ok

but i think i made a mistake with the numbers somewhere

should i paste the whole solution or can u figure out the mistake?

i can figure it out now

ok.sure