If a system of equations has fewer equations than unknowns, then it has infinitely many solutions.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.4: Solve Systems Of Equations With Three Variables
Problem 195E: How can you tell when a system of three linear equations with three variables has no solution?...
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If a system of equations has fewer equations than unknowns, then it has infinitely many solutions.

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