SOLUTION: X+Y=26, Y+Z=23, Z+X=37. THEN X+Y+Z =?

Algebra ->  Expressions-with-variables -> SOLUTION: X+Y=26, Y+Z=23, Z+X=37. THEN X+Y+Z =?      Log On


   

Question 990320: X+Y=26, Y+Z=23, Z+X=37. THEN X+Y+Z =?
Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
.
You are given 
X + Y     = 26, 

    Y + Z = 23, 

X     + Z = 37.

Add all three equations.  You will have

2*(X + Y + Z) = 26 + 23 + 37 = 86.

Hence,

X + Y + Z = 86%2F2 = 43.