A system of linear equations with more equations than unknowns is sometimes called an overdetermined system. Can such a system be consistent? Illustrate your answer with a specific system of three equations in two unknowns.

Question

Cecelia Combs

Mathematics

18 December, 14:18

A system of linear equations with more equations than unknowns is sometimes called an overdetermined system. Can such a system be consistent? Illustrate your answer with a specific system of three equations in two unknowns.

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Addisyn Henry · Answer 1

The answer is: Yes. An overdeterminated system is a consistent system as well.

Step-by-step explanation:

A system of equations is consistent if it has at least one solution. An overdetermined system has more than one solution, so it is also consistent.

This is an example of this. A system of three equations and two unknowns.

3X + 2Y-11 = 0

5X=25

2X+3=9