I've tried solving this problem for a couple hours and I am stumped
a little help would be much appreciated
X + Y + Z = 18
X - Y - Z = 12
3X - 2Y + 4Z = 4
Thanks in Advanced
You can use this Matrix calculator
Assuming you know simple matrix operations like mulitplication and finding determinants,
To solve the system consider cramer's Method.
Cramer's rule - Wikipedia, the free encyclopedia
If you don't know these elementary ideas I suggest this problem should be solved using subtitution and elimination.
(1) X + Y + Z = 18
(2) X - Y - Z = 12
(3) 3X - 2Y + 4Z = 4
Here's my simplistic and basic method
Rearranging (1) to isolate X
(4)
Substituting into (2)
Rearranging this gives:
Taking out (and then dividing through by) a common factor of 2 gives
Substituting this into equation 1 gives
Substituting that into all equations leaves:
Which can then be solved easily simultaneously to give
Then substituting this back into the above equations will give