Question

A.
A final result of
t
=
0
would indicate no solutions.

B.
A final result of
t
=
t
would indicate no solutions.

C.
A final result of
1
=
0
would indicate infinitely many solutions.

D.
A final result of
1
=
1
would indicate infinitely many solutions.

Answer 1

Only D is correct.

Quick reasons:
- A: t = 0 gives a specific value for t (a consistent condition), not "no solutions."
- B: t = t is an identity (tautology), indicating a free variable and thus typically infinitely many solutions, not no solutions.
- C: 1 = 0 is a contradiction, which indicates no solutions.
- D: 1 = 1 is an identity, which indicates consistency/dependence and typically infinitely many solutions.