# A system of two linear equations is consistent and dependent

## Inconsistent, Dependent, and Independent Systems Algebra 39 - Inconsistent, Dependent, & Independent Systems

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Systems of two linear equations in two variables can have a single solution, no solutions, or an infinite number of solutions. This video gives a great description of inconsistent, dependent, and independent systems. A consistent independent system of equations will have one solution. A consistent dependent system of equations will have infinite number of solutions, and an inconsistent system of equations will have no solution. This tutorial also provides information on how to distinguish a given system of linear equations as inconsistent, independent, or dependent system by looking at the slope and intercept.

A system of two linear equations can have one solution, an infinite number of solutions, or no solution. Systems of equations can be classified by the number of .
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The ordered pair that is the solution of both equations is the solution of the system. A system of two linear equations can have one solution, an infinite number of solutions, or no solution. Systems of equations can be classified by the number of solutions. If a consistent system has exactly one solution, it is independent. If a consistent system has an infinite number of solutions, it is dependent.

## Solutions to systems of equations: consistent vs. inconsistent

Solving a two by two system of linear equations that is inconsistent, consistent, or dependent

## Solutions to systems of equations: dependent vs. independent

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Algebra I Systems of equations Number of solutions to systems of equations. Systems of equations number of solutions: fruit prices 1 of 2. Systems of equations number of solutions: fruit prices 2 of 2. Solutions to systems of equations: consistent vs. Solutions to systems of equations: dependent vs.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Algebra I Systems of equations Number of solutions to systems of equations. Systems of equations number of solutions: fruit prices 1 of 2. Systems of equations number of solutions: fruit prices 2 of 2.

## Consistent and Dependent Systems

Graphing Systems of Linear Equations. Learning Objective s. Recall that a linear equation graphs as a line, which indicates that all of the points on the line are solutions to that linear equation. There are an infinite number of solutions. If you have a system of linear equations , the solution for the system is the value that makes all of the equations true.

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## 2 thoughts on “A system of two linear equations is consistent and dependent”

1. Alexander M. says:

A system of equations consists of two or more equations with two or more variables, where any solution must satisfy all of the equations in the system at the same time.

2. Paul F. says:

Number of solutions to systems of equations