+0  
 
+1
31
1
avatar

The real numbers x,y and z satisfy the equations x+2y+3z=950 and 3x+2y =1450 and y + 3z = 500. What is the average of x, y and z?

 Nov 13, 2022
 #1
avatar+9 
0

Guest

 

  x + 2y + 3z =   950                     (1)

3x + 2y +  0  = 1450                     (2)

  0 +   y + 3z =   500                     (3)

 

____________________________

Step 1: Add (2) + (3).

 

3x + 3y + 3z = 1950

____________________________

Step 2: Divide the equation by 3.

 

x +   y +  z  =   650

____________________________

Step 3: Calculate the average.

 

  x +   y +  z       650

  --------------  =  ------

         3                3

____________________________

Step 4: Final

 

The average of x, y and z are 650/3, approximately 216,67.

_____________________________

 Nov 13, 2022
edited by Garthist  Nov 13, 2022

16 Online Users