Find the solution to the system of equations:
2x
- 2y + z = -15
6x - 3y- z = -19
3x - y - z = -6

Question

Find the solution to the system of equations:
       2x 
- 2y + z = -15
     6x - 3y- z = -19
     3x - y - z  = -6

anonymous · Answer

X=-3
Y=2
Z=5

anonymous · Answer

just do the elimination

2x-2y+z=-15                                          2x-2y+z=-15       
6x-3y-z=-19                                           3x-y-z  = -6           
______________+                                        ______________+           
8x-5y=-34                                               5x-3y=-21


8x-5y=-34   >>   24x-15y=-102
5x-3y=-21   >>   25x-15=-105
----------         ________________-
                               -x=3
                                  x=-3

and do the substitution 
8(-3)-5y=-34
-24-5y=-34
-5y=-10
y=2

2(-3)-2(2)+z=-15
-6-4+z=-15
z=-5

anonymous · Answer

sorry for the typo on the first one the answer is
x=-3
y=2
z=-5