Question

15. x+y+z-6=0
2x-3y+4z-3=0
4x-8y+4z-12=0
17.w+x+y+z=0
2w+x-y-z=1
-w-x+y+z=o
2x+y=o

Answer 1

1 1 1 = 6
2 -3 4 = 3
4 -8 4 = 12


1 1 1 = 6 (-2) -2 -2 -2 =-12
2 -3 4 = 3 2 -3 4 = 3
-------------
0 -5 2 = -9
..........................................................

1 1 1 = 6 (*-4) -4 -4 -4 = -24
4 -8 4 = 12 4 -8 4 = 12
--------------
0 -12 0 = -12 (/-12)

0 1 0 = 1
.........................................................

0 -5 2 = -9 0 -5 2 = -9
0 1 0 = 1 (5) 0 5 0 = 5
--------------
0 0 2 = -4 (/2)

0 0 1 = -2

Answer 2

1 1 1 = 6
0 1 0 = 1
0 0 1 = -2


1 1 -2 = 6

1 0 0 = 6-1+2


x y z =#
---------
1 0 0 = 7
0 1 0 = 1
0 0 1 = -2

Answer 3

1 1 1 1 = 0
2 1 -1 -1 = 1
-1 -1 1 1 = 0
2 1 0 0 = 0


1 1 1 1 = 0
-1 -1 1 1 = 0 (add em up, they are good to go)
---------------
0 0 2 2 = 0
..............................................................

1 1 1 1 = 0 (*-2) -2 -2 -2 -2 = 0
2 1 -1 -1 = 1 2 1 -1 -1 = 1
---------------
0 -1 0 -3 = 1
..................................................................

1 1 1 1 = 0 (*-2) -2 -2 -2 -2 = 0
2 1 0 0 = 0 2 1 0 0 = 0
---------------
0 -1 -2 -2 = 0
...............................................................

1 1 1 1 = 0
0 -1 0 -3 = 1 (*-1) 0 1 0 3 = -1
0 -1 0 -3 = 1
0 -1 -2 -2 = 0
...............................................................

0 1 0 3 = -1
0 -1 0 -3 = 1
--------------
0 0 0 0 = 0 this is a sign for infinity solutions

...........................................

0 1 0 3 = -1
0 -1 -2 -2 = 0
-----------------
0 0 -2 1 = -1

Answer 4

1 1 1 1 = 0
0 1 0 3 = -1
0 0 -2 1 = -1 (/-2) 0 0 1 -1/2 = 1/2
0 0 0 0 = 0
................................................

1 1 1 1 = 0
0 1 0 3 = -1
0 0 1 -1/2 = 1/2
0 0 0 0 = 0

Answer 5

w+x+y+z=0
2w+x-y-z=1
-w-x+y+z=0

y = -2x
-------------------
w-x+z=0
w = x-z


2(x-z)+3x-z=1 -- 2x-2z+3x-z = 1
-(x-z)-3x+z=0 -- -x +z -3x+z = 0
.....................................

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

5x -2x = 1
3x = 1

x = 1/3

z = 2(1/3) = 2/3

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

y = -2x = -2(1/3) = -2/3

Answer 6

i see the typo in my matrix that goofed me up lol....

-2 -2 -2 -2 = 0
2 1 -1 -1 = 1
---------------
0 -1 -3 -2 = 1
^^
i made that a '0' last time :)

Answer 7

was about to say the book says answer is 1, -1, 2, -2

Answer 8

shld i erase up to the mistake?

Answer 9

you could erase it up to that point :)

Answer 10

got it to
1 0 0 0 1
0 1 00 -1
0 0 1 1 0
0 -1 -2 -2 0

Answer 11

YES ALL THE STUFF U TAUGHT ME MAKES SENSE HAHAHA YES 1 SEC WANNA SEE IF I CAN GET TO 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0

Answer 12

sry caps

Answer 13

lol....little excited eh :)

Answer 14

well i was then i forgot wtf went thru my brain can get to
1 0 0 0 1
0 1 0 0 -1
0 0 1 1 0
0 -1 -2 -2 0

Answer 15

what shld i do now?

Answer 16

0 0 1 1 = 0
0 -1 -2 -2 = 0 switch these 2 rows

1 0 0 0 = 1
0 1 0 0 = -1
0 -1 -2 -2 = 0 (*1)
0 0 1 1 = 0

Answer 17

or subtract it from the R2

Answer 18

oh didnt know i could swap rows

Answer 19

0 1 0 0 =-1
0-1-2-2= 0
-------------
0 0 2 2 =-1 (/2)

0 0 1 1 = -1/2 .....maybe?

Answer 20

matrix can be cumbersome.....

Answer 21

nah cause the answers are 1, -1 2, -2

Answer 22

and thats and understatement

Answer 23

-2 -2 -2 -2 = 0
2 1 -1 -1 = 1
---------------
0 -1 -3 -3 = 1 (*1)

0 1 3 3 = 1
..............................

Answer 24

wait how does that work cause if you times whole line by -1 to make them positives it makes the 1 -1 right?

Answer 25

1 1 1 1 = 0

0 1 3 3 = 1 0 1 3 3 = 1
0 -1 -2 -2 = 0 0 -1 -2 -2 = 0
0 0 2 2 = 0 --------------
0 0 -1 -1 =1 (-1)

0 0 1 1 = -1
..........................................................

0 1 3 3 = 1
0 0 2 2 = 0
-------------
0 1 5 5 = 1

Answer 26

wait im confused if ur adding
0 1 3 3 1 to
0 -1 -2 -2 0 wouldnt it be
0 0 1 1 1? then when times by -1
0 0 -1 -1 -1?

Answer 27

1 1 1 1 = 0

0 1 3 3 = 1

0 0 1 1 = -1

...cant seem to wrap this up lol

Answer 28

im gonna write this on paper; its a nightmare trying to keep things sorted in this reply box lol

Answer 29

OMFG WE FAILED SO HARD AHHAHAHHAHA

Answer 30

4rth row is not 2 1 0 0 y is third in all the others so wouldnt it be
2 0 1 0

Answer 31

sry
0 2 1 0

Answer 32

lol...your right

Answer 33

always goes w x y z
we have x and y

Answer 34

haha if only i could fit all of this onto failblog or unfreindable

Answer 35

1 1 1 1 =0
2 1 -1-1 =1
-1 -1 1 1 =0
0 2 1 0 =0 lol yeah :)

Answer 36

dear god getting a drink and cranking this out hey btw meant to ask you earleir are you a teacher or what do you do?

Answer 37

im an unemployed carpenter going back to college :)

Answer 38

well congratz on going back my brother is going back soon too and my other brother is just about to finish at the community but im going into the navy already signed why i have to get this stuff done

Answer 39

1 1 11=0
-1-111=0
----------
0 0 2 2 = 0

-2-2-2-2=0
2 1 -1-1=1
------------
0-1-3-3=1


-2-2-2-2=0
0 2 1 0 =0
------------
-2 0-1-2=0

Answer 40

1 1 1 1 = 0
0 1 3 3 =-1
0 0 1 1 =0
-2 0-1-2=0

Answer 41

R1 times 2 add to R4 and swap R4 and R3?

Answer 42

pawn to queen3 lol

Answer 43

rofl nvm

Answer 44

2 2 2 2=0
-20-1-2=0
-----------
0 2 1 0 = 0 ....cant hurt lol

Answer 45

oh times R3 by -3 add to R2?

Answer 46

hahah like an undobutton

Answer 47

0 1 3 3 =-1 (*-2)
0 2 1 0 = 0

0-2-6-6 =2
0 2 1 0 =0
-----------
0 0 -5 -6 = 2

Answer 48

0 0 1 1 =0 (*5)
0 0 -5 -6 = 2

00 5 5=0
00 -5-6 =2
-----------
0 0 0 -1 = 2

0001=-2

Answer 49

1 1 1 1 = 0
0 1 3 3 =-1
0 0 1 1 = 0 1 -2 = 0; 1 0=2
0 0 0 1 =-2

Answer 50

1 1 1 1 = 0
0 1 3 3 =-1 <-- 0 1 6 -6 = -1 ; 0100=-1
0 0 1 0=2
0 0 0 1 =-2

Answer 51

1 1 1 1 = 0 <- 1 -1 2-2=0; 1000=1 2-2; 1000=1
0 1 0 0 =-1
0 0 1 0 = 2
0 0 0 1 =-2

Answer 52

1 0 0 0 = 1
0 1 0 0 =-1
0 0 1 0 = 2
0 0 0 1 =-2

Answer 53

did you get all that lol

Answer 54

yes thx man for everything is there a way to add you so i cld maybe get future help if need be and ur ok with it?

Answer 55

add me? not that i know of; just come by and if im here say hi :)

Answer 56

do i deserve a medal :) lol

Answer 57

i gave you one long time ago

Answer 58

oh sweet can give you another

Answer 59

true ;)

Answer 60

yay lol..... thanx :)

Answer 61

nah man thank you for everything i beat my head agianst this and i just couldnt make it come together in a way that made sense you showed me how to do it even tho my PAID teachers cldnt i honestly cld have failed if not for this then there wld be no navy nuclear school or graduation

Answer 62

good luck :)