SOLUTION: 1f x+y =6,y+z =7 and x+z=9, what is the average of x,y and z?

Algebra ->  Matrices-and-determiminant -> SOLUTION: 1f x+y =6,y+z =7 and x+z=9, what is the average of x,y and z?       Log On


   



Question 887395: 1f x+y =6,y+z =7 and x+z=9, what is the average of x,y and z?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Add the equations to get

x+y =6
y+z =7
x+z =9
--------
2x+2y+2z=22


Factor out 2

2x+2y+2z=22

2(x+y+z)=22

then divide both sides by 2

2(x+y+z)=22

2(x+y+z)/2=22/2

x+y+z = 11

-------------------------------------------------------

Now we divide the sum of x,y,z by 3 to average x,y,z

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

So the mean or average of x,y,z is 11/3