Answer:
Option C. (4, -1, 3)
Step-by-step explanation:
The given system of equations is
x + y + z = 6 -----(1)
x - y + z = 8 ------(2)
x + y - z = 0 -----(3)
We subtract equation 1 by 3
(x + y + z) - (x + y - z) = 6 - 0
z + z = 6
2z = 6
z = 3
Now we subtract equation 1 by 2
(x + y + z) - (x - y + z) = 6 - 8
2y = -2
y = -1
Now we put the values of x and y in equation 1
x + (-1) + 3 = 6
x + 2 = 6
x = 6 - 2 = 4
Therefore, the solution of the equations is (4, -1, 3).
Option C is the answer.
