anonymous
  • anonymous
complete the ordered triple 8x-y+z=32 3x+2y-3z=36 x-3y+2z=-14
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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amistre64
  • amistre64
piece o cake... :)
amistre64
  • amistre64
how you wanna solve it?
anonymous
  • anonymous
i thought so too but when i worked the equation the way i was explained didnt get the right answer

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anonymous
  • anonymous
directions say to number equations 1-3 multiply (1) by 2
amistre64
  • amistre64
8x - y + z =32(-3/8) 8x - y + z =32(-1/8) 3x +2y -3z =36 x -3y +2z =-14
anonymous
  • anonymous
what is that? confusing me more
amistre64
  • amistre64
We are multiplying row 1 by a number that will turn the first term into a negative of the equation underneath it. -3x +3/8 y -3/8z = -96/8 -1x +1/8 y -1/8z = -32/8 3x + 2y -3 z = 36 x -3 y +2 z =-14 --------------------- --------------------
amistre64
  • amistre64
-3x + 3/8 y -3/8z = -12 -1x +1/8 y - 1/8z = - 4 3x +16/8y -24/8z = 36 x -24/8 y +16/8z =-14 --------------------- ---------------------- 0 +19/8y -27/8z = 24 0 -23/8y +15/8z = -28 and we end up with two equations of two variables that are easier to work with....
anonymous
  • anonymous
the way professor taught me is multiply equation (1) by 2 16x-2y+2z=64 +3x=2y-3z=36 equation (2) =19x-z=100 which becomes equation (4)
amistre64
  • amistre64
your professor choose to eliminate the "y" variable; I simply choose to start at the front and aliminatte the "x" variable. Same rules, different variable.
anonymous
  • anonymous
ok his way seems less confusing
amistre64
  • amistre64
his way keeps the fractions out :) but the process is the same. we use the "modified" equation to eliminate a variable from the other 2
anonymous
  • anonymous
oh good i hate fractions
amistre64
  • amistre64
once you know the process..... the way you get to it is up to you :)
amistre64
  • amistre64
there is no special rule about : you have to use equation 1 and multiply by a certain variable yadayadayada.... pick your poison and drink ;)
anonymous
  • anonymous
good way to put it
anonymous
  • anonymous
can we work on a different one
amistre64
  • amistre64
we can :)
anonymous
  • anonymous
x+y+z=4 2x+4y+2z=4 -x+8y-3z=-34 please leave out the fractions on my end anyway
amistre64
  • amistre64
:) lets use equation 1 since it looks the plainest and use it to "calibrate" the other 2. ok?
amistre64
  • amistre64
x + y + z =4 <- what should we mulitply this bu to get rid 2x+4y+2z =4 of a variable in the bottom equation? -------------
amistre64
  • amistre64
we want either a: -2x, or a -4y; or even a -2z... what variable you wanna destroy?
amistre64
  • amistre64
x y or z.... just pick one so we can move ahead ;)
anonymous
  • anonymous
x
amistre64
  • amistre64
good, we will destroy the "x" :)
amistre64
  • amistre64
the top has an "x" and the bottom has an "2x. ___ x + 2x = 0..... what do we need to fill in the blank here?
anonymous
  • anonymous
your doing it the hard way
amistre64
  • amistre64
lol..... no I aint :)
anonymous
  • anonymous
1
anonymous
  • anonymous
sry 2
amistre64
  • amistre64
so you want me to believe that: 1x + 2x = 0?
amistre64
  • amistre64
2x + 2x = 0?
anonymous
  • anonymous
-2
amistre64
  • amistre64
yay!!.... we hav a winner ;) -2 it is.
amistre64
  • amistre64
x + y + z =4 <- multiply everything in this top by (-2) 2x+4y+2z =4 to get -2x -2y -2z =-8 2x +4y +2z =4 ; now add them together. ----------------- 0 +2y +0 = -4 ; wow, 2 variables with one shot lol
anonymous
  • anonymous
question? y do we put - between 2y, and 2z
anonymous
  • anonymous
because we multiply by -2, tina duh
amistre64
  • amistre64
i dont understand the question... yeah, thats the ticket :)
amistre64
  • amistre64
so we get; 2y = -4; what does y equal since its all alone?
anonymous
  • anonymous
better question why do we multiply by -2
amistre64
  • amistre64
becasue you decided to destroy the x variables...... and that meant that we needed to have a number such that: ___x + 2x = 0 ; zero means they are eliminated, destroyed, kaput right?
anonymous
  • anonymous
ok got it
amistre64
  • amistre64
(__)x + 2x = 0 ; you recall that :)
amistre64
  • amistre64
you sophies choiced it lol
anonymous
  • anonymous
going for bs in accounting didnt know this kind of math would be part of it
anonymous
  • anonymous
im actually a freshman
amistre64
  • amistre64
gotta know algebra... and thats all this is :)
anonymous
  • anonymous
still trying to figure out how i made it out of hs
amistre64
  • amistre64
So, to move ahead... we came to the conclusion that both those variables vanished in the process, and we are left with 2y=-4; whats y have to be?
anonymous
  • anonymous
-2
amistre64
  • amistre64
good, write that down someplace...y = -2 its one of your answers :)
amistre64
  • amistre64
Now we use equation (1) that you gave me and use it to eliminate "x" in the last one right? x + y + z = 4 -x +8y -3z =-34
amistre64
  • amistre64
Is there anything we have to do to this to get: x - x = 0?
anonymous
  • anonymous
do we multiply equation 1by -3?
anonymous
  • anonymous
1-1=0
amistre64
  • amistre64
no..... you chose "x" variable for elimination...stick with it to the end :)
anonymous
  • anonymous
ok, carry on then
amistre64
  • amistre64
(__)x -x = 0 ; what do we have to do to make this right? what number do we need to use?
amistre64
  • amistre64
that format lied to me lol
anonymous
  • anonymous
? idk x represents 1 right?
amistre64
  • amistre64
x represents x.... 1 represents 1..... but what you a really asking is: isnt there an invisible 1 in front of those? and I say , yes. and so you say, then the number we need is 1; and I say correct :)
anonymous
  • anonymous
yeah thats exactly what i was thinking
amistre64
  • amistre64
then we can multiply everything in the top by (1)...which seems pretty pointless right? but thats what we do :) x + y + z =4 <-- multiply it all by (1) and we get. -x +8y -3z =-34 x+ y+ z =4 -x+8y-3z=-34 <-- add em up --------------- 0 +7y -2z = -30
amistre64
  • amistre64
ummm 8 + 1 = 9 :) I forgot how to add :)
amistre64
  • amistre64
8y -2z = -30 now we can use this equation for some good :)
anonymous
  • anonymous
i got 9y-2z=-30
amistre64
  • amistre64
.........so did I but my fingers aint cooperating with me brain :)
amistre64
  • amistre64
im gonna have to hold them under the iron to teach them a lesson....
anonymous
  • anonymous
LOL, 8y+y would be 9y right?
amistre64
  • amistre64
Yes, I agree........but that pinky finger is revolting ;)
anonymous
  • anonymous
ok so next step is?
amistre64
  • amistre64
well, since we already determined a solid value for "y"...lets use it ....wiat for it........NOW!!
amistre64
  • amistre64
8(-2) -2z = -30 -16 - 2z = -30 -2z = -14 z = -14/-2 = 7 z = 7 yay!! write that down after you check me work..
anonymous
  • anonymous
we subtract -16 from both sides
amistre64
  • amistre64
why would we do that? -16-16 -2z = -30-16 is true, but it gets us nowhere fast. if we "add" 16 to both sides we get: -16+16 -2z = -30+16
anonymous
  • anonymous
i got z=7
amistre64
  • amistre64
me too :)
amistre64
  • amistre64
y = -2, z = 7 lets use these in any of the others equations, but equation 1 seems lonely and wants some attention...so we will use it :) x + y + z = 4 x +-2 + 7 = 4 x + 5 = 4 x = 4-5 x = -1; y=-2; z=7 is the solution to our equations.
amistre64
  • amistre64
you agree? we can double check by using these values in all the equations and seeing if the results are true...
anonymous
  • anonymous
i agree
amistre64
  • amistre64
its alot of mechanicl work, but once you know the underlying principles; the rest is just drudging thru the motions..
anonymous
  • anonymous
something isnt right
anonymous
  • anonymous
my school using mathlab and it says the answer is wrong x,y,z -1,-2,7
anonymous
  • anonymous
it was 9y instead of 8y thats y i kept getting confused
amistre64
  • amistre64
x+y+z=4 <- we know this ones good.... we used it to find x ...................................... 2(-1)+4(-2)+2(7)=4 -2 -8 +14 = 4 -10 + 14 = 4 4 = 4 ..... its good there ........................................ -(-1)+8(-2)-3(7)=-34 1 -16 -21 = -34 -14-21 = -34 -35 = -34 is off.....
anonymous
  • anonymous
the equation is -x+8y-3z=-34 but when we added that to x+y+z=4 we got 0+8y-2z=-30 it should have been 0+9y-2z=-30
amistre64
  • amistre64
1-16 = -15......
amistre64
  • amistre64
you telling me you gave me the wrong equations?
amistre64
  • amistre64
9y-2z=-30...and we used 8y right? lol
amistre64
  • amistre64
this is soooo much easier to keep track of on paper, i gotta tell ya :)
anonymous
  • anonymous
no the equations were right the math was wrong your fingers really screwed it up but just by one number the answer is x,y,z -1,-2,6
anonymous
  • anonymous
add an extra 5mins on that iron
amistre64
  • amistre64
lol.... gonna buy me one of those cigar cutters..... see what they think o that :)
anonymous
  • anonymous
lmao, so what are you majoring in
amistre64
  • amistre64
major in math hopefully; and minor in business
anonymous
  • anonymous
no wonder i just thought you were a genius with math
amistre64
  • amistre64
nah....just a normal genuis ;)
amistre64
  • amistre64
gonna take calculus 1 and stats durig the summer if the classes dont cancel
amistre64
  • amistre64
already taught myself alot up to calculus3....stats im rusty on
anonymous
  • anonymous
i hope this is all the math i have to take, WOW! i sure am glad i found you you most likely just saved this quarter for me I was crying the other night because i sucked so bad.
amistre64
  • amistre64
well, I cant teach you everything in one shot :) but most of algebra you already learned..and thats all this is
amistre64
  • amistre64
you just need to be able to see that you know it :)
anonymous
  • anonymous
i took a few years off between hs and college, and i barely passed it
amistre64
  • amistre64
hs dont count, thats for kids anyways ;)
amistre64
  • amistre64
my daughter doesnt like me to help her with her homework because what she really wants is someone to just hand her the answers ...
anonymous
  • anonymous
my son too hes 9
amistre64
  • amistre64
becoming disciplined and focused is the key...nd most kids aint acquired that skill :)
anonymous
  • anonymous
i know a few adults that havent either , i guess it really boils down to how bad you want to succeed
anonymous
  • anonymous
8.3-y=-5.6
amistre64
  • amistre64
y = 13.9 is my guess
anonymous
  • anonymous
can i give you another equation and this time instead of helping me u just ck my answer, if you have nothing else to do
amistre64
  • amistre64
I can try :)
anonymous
  • anonymous
x+y+z=4 2x+4y+2z=4 -x+8y-3z=-34
amistre64
  • amistre64
we just did that one :)
anonymous
  • anonymous
yep sry gave you the wrong one x+y+z=5 2x+5y+2z=13 -x=9y-3z=-3
amistre64
  • amistre64
i got it already...did it on paper :)
anonymous
  • anonymous
ok gonna have to give me a min,
amistre64
  • amistre64
use the force luke...the force!!
anonymous
  • anonymous
x,y,z 3,1,1
amistre64
  • amistre64
close...but no ;)
anonymous
  • anonymous
is the z=-1
amistre64
  • amistre64
answers are: (x,y,z) (0,1,4)
anonymous
  • anonymous
nowhere near close
amistre64
  • amistre64
lol....
anonymous
  • anonymous
ok what did i do wrong
amistre64
  • amistre64
i dont know, my mind reading skills are a little lacking
anonymous
  • anonymous
oh thought that was part of being a genious
amistre64
  • amistre64
x+y+z=5 (-2) 2x+5y+2z=13 -2x-2y-2z=-10 2x+5y+2z=13 ---------------- 0 +3y + 0 = 3 ; y = 1 .............................................
amistre64
  • amistre64
I said genius not circus freak ;)
anonymous
  • anonymous
got that part right
amistre64
  • amistre64
x+y+z=5 (1) -x+9y-3z=-3 x+y+z=5 -x+9y-3z=-3 -------------- 0 +10y -2z = 2 ; since y = 1, use it here .............................................................. 10(1) -2z = 2 10 -2z = 2 -2z = -8 z = 4 ....................................
amistre64
  • amistre64
x+y+z = 5 x + 1 + 4 = 5 x + 5 = 5 x = 5-5 x = 0
amistre64
  • amistre64
your thinking: Damn!! I was thisssss close :)
anonymous
  • anonymous
i forgot to subtract 10 from both sides 2-10 =-8
amistre64
  • amistre64
aha!! that sly and coy, and other adjectivial words meaning roughly the same thing, little bugger
anonymous
  • anonymous
ok i will let you get to ur work and i will work on the rest by myself r u gonna b around in case i need help?
amistre64
  • amistre64
if I am. ill be the one with the tights and the cape ;) and the "M" on my chest..
anonymous
  • anonymous
great not sure what i could help u with but let me know,
amistre64
  • amistre64
..... k :)
anonymous
  • anonymous
Superhero hunh. lolz!!!
anonymous
  • anonymous
hey amistre64 u there

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