SOLUTION: A system of three linear equations in three variables is inconsistent. How many solutions to the system exist?

Algebra.Com
Question 820324: A system of three linear equations in three variables is inconsistent. How many solutions to the system exist?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
A system of three linear equations in three variables is inconsistent.
How many solutions to the system exist?
A consistent system has at least one solution.
An inconsistent system has no solutions. *****
An independent system has exactly one solution.
A dependent system has infinitely many solutions.

RELATED QUESTIONS

How many solutions does a system of linear equations in three variables have?Can systems... (answered by MathLover1)
I came up with D. After computing the determinants required by Cramer's Rule for a... (answered by Alan3354)
How many solutions of a system of two linear equations in two unknowns can exist? (answered by jim_thompson5910)
Describe the graph of a linear system of equations in two variables that is... (answered by KMST)
how do you make a system of three linear equations in three variables for which the... (answered by Fombitz)
Writing In a system of three linear equations with three variables, the number of... (answered by solver91311)
Given that (3, 2, –6) and (–2, 5, 1) are solutions of two equations in a system of three... (answered by Edwin McCravy)
Given that (3, 2, –6) and (–2, 5, 1) are solutions of two equations in a system of three... (answered by ikleyn)
Solve the system of linear equations. If a unique solution does not exist, state whether... (answered by amoresroy)