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Find the ordered triple  that satisfies the following system:
x-2y=0

y-2z=0

x+z=5

 

put answer as ( x,y,z)

 Jul 22, 2022
edited by Guest  Jul 22, 2022
 #1
avatar+124676 
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x - 2y  = 0      →  x   = 2y      (1)

y  - 2z =   0    → y  = 2z →  z = y/2    (2) 

x + z  = 5    (3)

 

Sub (1)  , (2)  into  (3)

 

2y  + y/2  = 5

 

2.5 y =   5

 

y  = 5 / 2.5  =   2

 

x = 2(2)  =  4

 

z = 2/2  =  1

 

(x, y, z)  = (4, 2 , 1 )

 

 

cool cool cool

 Jul 22, 2022

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