anonymous
  • anonymous
Medal Solve the following system of equations by any method. x + y = 32 x + z = 39 y + z= 47
Mathematics
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anonymous
  • anonymous
Medal Solve the following system of equations by any method. x + y = 32 x + z = 39 y + z= 47
Mathematics
katieb
  • katieb
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LynFran
  • LynFran
which method u prefer to use
anonymous
  • anonymous
addition
LynFran
  • LynFran
what i meant was elimination , substitution ... matrix

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anonymous
  • anonymous
substitution
Hero
  • Hero
Subtract the 2nd from the 1st to get y-z=-7
Hero
  • Hero
Then you'll have : y-z =-7 y+z=47 Add the equations together to eliminate z then solve for y.
Hero
  • Hero
That's the easiest approach here.
anonymous
  • anonymous
y = 0 z = 0
anonymous
  • anonymous
-7 + 47 = 40
Hero
  • Hero
You should have gotten 2y=40 not y=0
anonymous
  • anonymous
oh sorry i subtracted
Hero
  • Hero
Yes I know. Be careful
anonymous
  • anonymous
whats the next step
anonymous
  • anonymous
@LynFran do you understand this
LynFran
  • LynFran
here ur substitution method and yes i know all 3 method thats y i ask which u prefer ok we can rewrite the 3rd equation as y=47-z we can also rrewrite the 2nd equation to get x=39-z now subs the 2 equations about into the 1st equation to get x+y=32 39-z+47-z=32 86-2z=32 86-32=2z 54=2z 27=z now sub z=27 into the 3rd equation above to get y+z=47 y+27=47 y=47-27 y=20 now sub y=20 into 1st equation to get x+y=32 x+20=32 x=32-20 x=12
Hero
  • Hero
Elimination is the simplest and most efficient method to Use here.
LynFran
  • LynFran
yea i agree but @harz360 prefer substitution
Hero
  • Hero
The goal is to solve using the least amount of steps
anonymous
  • anonymous
when i see all the steps thats when i understand it
Hero
  • Hero
It's a matter of efficiency not preference.
texaschic101
  • texaschic101
I would have taken the first 2 equations...and eliminated the x's...then go from there
LynFran
  • LynFran
me too
Hero
  • Hero
Exactly .
anonymous
  • anonymous
but thanks a lott @LynFran
anonymous
  • anonymous
@Hero thanks so much
LynFran
  • LynFran
here the elimination method using 1st and 2nd equation subtract we get y-z=32-39 now using the 3rd equation subtract y-z=-7 y+z=47 we get -z-z=-7-47 -2z=-54 z=-54/-2 z=27 now sub z=27 into 3rd equation we get y+z=47 y=47-27 y=20 now sub y=20 in 1st equation we get x+y=32 x+20=32 x=32-20 x=12
anonymous
  • anonymous
this method seems confusing by the subtraction method seems easier to follow
Hero
  • Hero
That WAS the subtraction method. Lyn just wrote it awkwardly
anonymous
  • anonymous
ohh i c
LynFran
  • LynFran
no thats the elimination method in details
Hero
  • Hero
Subtraction/Elimination Method
Hero
  • Hero
Interchangeable description
anonymous
  • anonymous
ohh i understand both when i see the steps which lyn has shown nicely

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