Answer:
x = -5, y = -6, z = -3
Step-by-step explanation:
Given the system of three equations:

Write the augmented matrix for the system of equations

Find the reduced row-echelon form of the augmented matrix for the system of equations:

Thus, the system of three equations is

From the last equation:

Substitute it into the second equation:

Substitute y = -6 and z = -3 into the first equation:

I believe it is the first option. Hope this helps!
Step-by-step explanation:
Given points are (-2,5) and (3,-17)
to find midpoint, use this formula
( x1+x2/2 , y1+y2/2)
where points are a(x1,y1) and b(x2,y2)
coming to the question,
midpoint is :
[ (-2-3)/2 , (5-17)/2 ]
[ -5/2 , -12/2 ]
[ -2.5 , -6 ]
OPTION
IS CORRECT