anonymous
  • anonymous
Hi, I need help understanding how to solve this 3x3 System of Equations by elimination: 4x + 4y + z=24 2x - 4y + z = 0 5x - 4y - 5z = 12 I already know the values for each variable, I just want to know how to solve it myself
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Does it has to be by elimination?
anonymous
  • anonymous
Yes please, the test will only have elimination problems and Cramer's rule. I already know how to use the latter
anonymous
  • anonymous
Sorry, I don't like elimination :c

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anonymous
  • anonymous
All good
anonymous
  • anonymous
4x+4y+z=24 (1) 2x-4y+z=0 (2) 5x-4y-5z= 12 (3) add (1) and (2) 6x+2z=24 3x+z=12 (4) add (1) and (3) 9x-4z=36 (5) multiply (4) by 4 and add in (5) 21x=48+36=84 x=84/21=4 put in (4) 3*4+z=12 z=12-12=0 put in (2) 2*4-4y+0=0 8=4y y=8/4=2
anonymous
  • anonymous
In the calculator I used, I got y = -4 and z = 5
anonymous
  • anonymous
let us check the solution put x=4,y=2 z=0 in any equation say (3) 5*4-4*2-5*0=12 20-8=12 or 12=12 which is true.
anonymous
  • anonymous
Ah, cool. Thanks so much!
anonymous
  • anonymous
yw

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