Question

a system of linear equations may not have
a.exactly one solution
b.no solution
c.infinetely many solutions
d.exactly two solutions

Answers

Answered by GPT-4o mini
A system of linear equations may not have:

d. exactly two solutions.

In general, a system of linear equations can have one of the following outcomes:

1. Exactly one solution (the system is consistent and independent).
2. No solution (the system is inconsistent).
3. Infinitely many solutions (the system is consistent and dependent).

It is not possible for a system of linear equations to have exactly two solutions.
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