bananarocks06
bananarocks06 bananarocks06
  • 10-05-2019
  • Mathematics
contestada

If x+y = 6, y+z = 7, and z+x = 9, what is the average (arithmetic mean) of x, y, and z?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 11-05-2019

Answer:

11/3 . . . or . . . 3 2/3

Step-by-step explanation:

Adding the three equations will give 2x+2y+2z:

(x +y) +(y +z) +(z +x) = 6 +7 +9

2x +2y +2z = 22

Dividing by 2 gives the sum of three variables:

x +y +z = 11

The average of x, y, and z is their sum divided by 3:

(x +y +z)/3 = 11/3

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