The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.

Answer:
option-C
Step-by-step explanation:
We are given row-echelon form
So, we can write equation from matrix as
[tex]x-5z=-3[/tex]
[tex]y-4z=-5[/tex]
Let's assume
[tex]z=t[/tex]
now, we can find x and y
[tex]x-5t=-3[/tex]
[tex]x=5t-3[/tex]
[tex]y-4t=-5[/tex]
[tex]y=4t-5[/tex]
so, we get solutions as
[tex]x=5t-3[/tex]
[tex]y=4t-5[/tex]
[tex]z=t[/tex]
where t can be any real numbers