In mathematics and particularly in algebra, a linear or nonlinear system of equations is called consistent if there is at least one set of values for the unknowns that satisfies each equation in the system—that is, when substituted into each of the equations, they make each equation hold true as an identity. In contrast, a linear or non linear equation system is called inconsistent if there is no set of values for the unknowns that satisfies all of the equations. If a system of equations is inconsistent, then it is possible to manipulate and combine the equations in such a way as to obtain contradictory information, such as 2 = 1, or x3 + y3 = 5 and x3 + y3 = 6 (which implies 5 = 6). Both types of equation system, consistent and inconsistent, can be any of overdetermined (having more equations than unknowns), underdetermined (having fewer equations than unknowns), or exactly determined. (Wikipedia).
Consistent Independent, Dependent and Inconsistent
Learn about whether a system of linear equations is consistent independent, consistent dependent or inconsistent in this free math video tutorial by Mario's Math Tutoring. We go through a couple different ways to solve these three examples. 0:16 Three Things that Can Occur with 2 Lines
From playlist Systems of Linear Equations - Solving
Determine the Number of Solutions to a System of Linear Equations From a Graph
This video explains how to determine the number of solutions from the graph of a system of linear equations. http://mathispower4u.com
From playlist Solving Systems of Equations by Graphing
Inconsistent and Dependent Systems of Equations
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From playlist Algebra I
Consistency of a System of Linear Equations
Linear Algebra: Determine whether the following systems of linear equations are consistent: (a) x -3y +2z + 2w = 1, 2x - 2z = 3, 4x - 6y +2z + 4w = 6; (b) x-3y+2z+2w=1, 2x-2z = 3, 4x - 6y - 2z + 4w = 5.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Ex 1: Solve a System of Equations by Graphing
This video provides an example of how to solve of system of linear equations by graphing. Complete Library: http://www.mathispower4u.com Search by Topic: http://www.mathispower4u.wordpress.com
From playlist Solving Systems of Equations by Graphing
Ex: Solve a System of Equations by Graphing (Infinite Solutions)
This video provides an example of how to solve of system of linear equations by graphing. This example has infinite solutions. Complete Library: http://www.mathispower4u.com Search by Topic: http://www.mathispower4u.wordpress.com
From playlist Solving Systems of Equations by Graphing
From playlist Linear Algebra Ch 7
One Solution, No Solution, or Infinitely Many Solutions - Consistent & Inconsistent Systems
This algebra video tutorial explains how to determine if a system of equations contain one solution, no solution, or infinitely many solutions. It also explains how to determine if the solution is consistent or inconsistent as well as dependent or independent. This video contains plenty
From playlist New Precalculus Video Playlist
From playlist Linear Algebra Ch 7
From playlist Linear Algebra Ch 7
How to solve a system by graphing lines
👉To solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any) of the graphs of each of the equation that make up the
From playlist Solve a System of Equations by Graphing | Slope Intercept
Consistent and inconsistent systems | Algebra II | Khan Academy
Consistent and Inconsistent Systems Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/independent-and-dependent-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/
From playlist Mathematics I | High School Math | Khan Academy
Summary for solving a system of equations by graphing
👉Learn about solving a system of equations by graphing. A system of equations is a set of more than one equations which are to be solved simultaneously. To solve a system of equations graphically, we graph the individual equations making up the system. The point of intersection of the gr
From playlist Solve a System of Equations by Graphing | Learn About
How to graph and compare a system of equations and their solutions
👉To solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any) of the graphs of each of the equation that make up the
From playlist Solve a System of Equations by Graphing | Slope Intercept
In this video, I use prove two very classical results in the study of systems of equations: First, that Ax = b is always consistent iff A has a pivot in every row, and second that Ax = b is inconsistent iff the last column of the augmented matrix is a pivot column. For this, I use the rank
From playlist Linear Equations
Solving Systems of Equations Graphically
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From playlist Solving Systems of Equations by Graphing