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

Mathematics

Gabriel

18 August, 10:52

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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Elliana Wilcox · 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