2008 iTest Problems/Problem 8
Problem
(story eliminated)
Given the system of equations
![$2x + 3y + 3z = 8$](http://latex.artofproblemsolving.com/b/1/a/b1a949a0479b1c302babf706cac5b421735369c9.png)
,
![$3x + 3y + 2z = 80808$](http://latex.artofproblemsolving.com/5/7/e/57e194550059b7d7a487e6beac99396feca762ea.png)
find .
Solution
2x + 3y + 3z = 8, 3x + 2y + 3z = 808, 3x + 3y + 2z = 80808,
The Solution can be found by summing the three equations to get:
8x + 8y + 8z = 81624
then solving for x+y+z, divide by 8 to get:
10,203.
See also
lol