Question 72567
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What is the difference between: independent and dependent 

<b>Independent System.</b> The graphs of the equations are different.

Example: 
{{{graph (200, 200, -4,5, -5, 6, 3x-2, 3x+5)}}}

Notice that the lines are different so the system is Independent

<b>Dependent System.</b> The graphs of the equations are the same.

Example

{{{graph (200, 200, -4,5, -5, 6, 3x+2, 3x+2)}}}


consistent and inconsistent?

<b>Consistent System.</b> System with at least one solution.

Example:
{{{graph (200, 200, -4,5, -5, 6, 3x-2, 6x-4)}}}

There is one intersection so the system is consistent.

<b>Inconsistent System.</b> A system with no solution.

Example:
{{{graph (200, 200, -4,5, -5, 6, 3x-2, 3x+5)}}}

Notice that the graph don't have intersection so there is no solution and 
the system is inconsistent