Difference between revisions of "2008 iTest Problems/Problem 8"

(Solution)
Line 10: Line 10:
  
 
==Solution==
 
==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==
 
==See also==

Revision as of 23:28, 4 August 2014

Problem

(story eliminated)

Given the system of equations

$2x + 3y + 3z = 8$,

$3x + 2y + 3z = 808$,

$3x + 3y + 2z = 80808$,

find $x+y+z$.

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