Question

Solve the system of equations. Write solution as a point (x,y,z). Write no solutioon if inconsistent.

2x-2y+3z=5
2x+y-2z=-1
4x-y-3z=0

(X,y,z) =

Answer 1

have you done matrices?

Answer 2

Subtract first from second.

Then twice second from third.

Answer 3

No matrices. So far just elimination and substitution routes.

Answer 4

okay, then do what estudier suggested

Answer 5

Subtract the first from tthe second, and then subtract twice the

Answer 6

yes, subtract the first equation from the second.
post what you get.

Answer 7

3y-5z=-6

Answer 8

okay good.,
now subtract twice the first equation from the third equation

Answer 9

x= 2/3 y=-1/3 z=1

Answer 10

Great explanation,shadowfax...

Answer 11

wow shadowfax, you can solve simultaneous equations!
Care explaining to ashes2ashes how you did that?

Answer 12

this forum is not a competition to see if you can solve a problem,
it is to explain to the person how to do the problem.
There is no achievement in solving a problem you did in high school,
there is significant achievement in being able to explain it to a novice.

Answer 13

next part is -3y+z=2

Answer 14

then subtract that answer from the first one I found?

Answer 15

that gives me z=1

Answer 16

then substitute that back into my equation of 3y-5z=-6

Answer 17

that leaves me with y= -1/3 correct?

Answer 18

right. very good
now use y and z to find x

Answer 19

you are helping a ton thanks... l;ets see if I get this

Answer 20

x= 2/3 then got to 4x=2 2/3
then divide by 4 gives me 2/3

Answer 21

so (2/3,-1/3,1) I believe

Answer 22

right. well done!

Answer 23

thanks! will ahve a similar one to post in as econd to make sure I am doing it right