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i dont know how to solve this 3 variable system of equations and i keep getting stuck 


x+y+z=8
x+4y+6z=24 

-2x+3y+5z=2

 Sep 25, 2020
 #1
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x+y+z=8
x+4y+6z=24 

-2x+3y+5z=2

 

 Hello Guest!

 

x+y+z=8              | subtr. 
x+4y+6z=24         * (- 2)

 

   3y+5z=16         | * 11     CC

 

 

-2x+3y+5z=2

-2x-8y-12z=-48     | subtr.

      11y+17z = 50  | * 3     CC

      33y+51z=150  | subtr. CC

      33y+55z=176              CC

                4z=26    | / 4      CC - CC

                 z=6.5

  33y+55*6.5=176              CC   | - 55 * 6

   33y=176-357.5   | / 33

                 y=-5.5

 

x+y+z=8                  | - y - z

x=8-y-z            

x=8+5.5-6.5

                  x=7

laugh  !

 Sep 25, 2020
edited by asinus  Sep 25, 2020

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