Asked by Dee

Solve the system, if possible. (If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter a general solution in terms of x, y, or z.)

x + y = 18
y + z = 18
x − z = 0
Answered by Damon
The last equation means y = z so use it

x + z = 18
y + z = 18
-------------
x - y = 0
so
x = y
so
x = y = z = 9
Answered by Dee
the answer didn't work...
Answered by Dee
i think you used the wrong one for the third line...

x+z=18
y+z=18
x-z=0
Answered by Damon
9+9 = 18
9+9 = 18
9-9 = 0

That worked
However it is trivial
Answered by Damon
yes, x - z = 0
also x - y = 0
in fact x y and z are all 9
Answered by Dee
its saying its wrong? :/
Answered by Damon
By the way, the system is indeterminant. The determinant of the coefficient matrix is zero.
Answered by Damon
Well, if you are given choices say inconsistent. I used logic and not linear algebra to say 9,9,9
Answered by Dee
i have no clue why its not working...

i tried:

0,0,0
9,9,9
INCONSISTENT