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What is inconsistent system of linear equation?
It is a system of linear equations which does not have a solution.
What happens when Cramer's rule is applied to dependent or inconsistent systems?
We call the coefficients of the variables in the system D, and we need to find the determinant of D. When D = 0, the system is either inconsistent or dependent. You need another method to solve it.
What types of lines would be the result of an inconsistent system of equation?
If you refer to linear equations, graphed as straight lines, two inconsistent equations would result in two parallel lines.
Which best describes a system of equations that has no solution?
An "inconsistent" set of equations. If they are all linear equations then the matrix of coefficients is singular.
Is the system of equations 3x-6y equals 12 and 2x-4y equals 3 dependent consistent inconsistent or independent?
The system is inconsistent because there is no solution, i.e., no ordered pair, that satisfies both equations. You can see that this will be the case by seeing that their graphs have the same slope (2) but different y-intercepts (2 and 3/4 respectively). So the lines are parallel and will not intersect.
