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08-01-2017
Mathematics

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Determine if the statement is true or false.a linear system with three equations and two variables must be inconsistent.

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jimthompson5910 jimthompson5910

08-01-2017

Answer: False

It's possible to have three equations and the system be consistent. For example, the lines in this system

y = x+2
y = -x+4
y = 3x

all cross at the point (1,3). This is one of infinitely many counter examples which shows that the original statement is not true in general.

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