Answer
Fill the blanks with
(a) ... x and y
(b) ... dependent ...
(c) ... $3+t$ ... $5-2t$ ... $t .$
Work Step by Step
a. The variables x and y have leading entries 1.
b. No rows represent an impossible equation (0=1), so the system is consistent (has solutions).
Since not not every variable is a leading variable, the system is dependent.
c. Taking y to be a parameter, z=t, $t\in \mathbb{R},$
second row: $y=5-2t$
first row: $x=3+t$
Fill the blanks with
(a) ... x and y
(b) ... dependent ...
(c) ... $3+t$ ... $5-2t$ ... $t .$
