anonymous
  • anonymous
HELP! how to solve system of equations x-2y+z=-1 y+2z=-4 x+y+3z=-5 what do we do when there is a missing variable??? :(
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
what are you solving for??
anonymous
  • anonymous
x,y, and z
anonymous
  • anonymous
I'm not sure what to do since the x is missing.

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Directrix
  • Directrix
Write the system as: x - 2y +z =-1 0x +y+ 2z=-4 x + y + 3z = -5 In the first and third equations, eliminate the variable x. Then, you will have a system of 2 by 2 equations in the unknowns y and z. Of those two equations, eliminate a variable and solve for the other. If you are allowed to use technology, take a look at the online 3 x 3 linear equation system solver at: http://math.bd.psu.edu/~jpp4/finitemath/3x3solver.html @mathcalculus
Directrix
  • Directrix
Question?
anonymous
  • anonymous
thank you
anonymous
  • anonymous
im trying to solve it step by step
Directrix
  • Directrix
x - 2y +z =-1 0x +y+ 2z=-4 x + y + 3z = -5 x - 2y +z =-1 x - 2y +z =-1 x + y + 3z = -5 --multiply through by -1 -> -x - y - 3z = 5 ---------------- -3y - 2z = 4
anonymous
  • anonymous
ok
anonymous
  • anonymous
i got a little lost. now i know why
anonymous
  • anonymous
i got that, so what about the second equation?
Directrix
  • Directrix
@mathcalculus Your Task: Solve this system - Just add them. -3y - 2z = 4 y+ 2z=-4 -----------------
anonymous
  • anonymous
it bothers me that the 0x is there.
Directrix
  • Directrix
Don't look at it. When I eliminated the "x" in equations #1 and #3, the 0x was not an issue.
anonymous
  • anonymous
i got this: -2y=0
anonymous
  • anonymous
but it can't be. it's undefined.
Directrix
  • Directrix
Note that here: Solve this system - Just add them. -3y - 2z = 4 y+ 2z=-4 ----------------- I excluded the 0x term. It is just a placeholder of sorts.
anonymous
  • anonymous
0/2?
anonymous
  • anonymous
yeah i know.
Directrix
  • Directrix
-2y = 0 y= 0/2 y = 0--> You have division by 0 and division into 0 mixed up.
anonymous
  • anonymous
so y is 0?
anonymous
  • anonymous
okay i got that step right.
anonymous
  • anonymous
z=2
anonymous
  • anonymous
x=-6
anonymous
  • anonymous
it's wrong... :(
Directrix
  • Directrix
It is wrong. But, unless you show your steps, I cannot help you find the error.
anonymous
  • anonymous
z=-2
anonymous
  • anonymous
ok hold on.
anonymous
  • anonymous
i got it right! x=1 y=0 z=-2 ! =]
anonymous
  • anonymous
thanks so much! i really aprreciate it!
Directrix
  • Directrix
You are welcome.

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