document.write( "Question 949341: (Please help I'm so Confused!!!) What is meant by a dependent system of linear equations and how does this differ from an independent system or an inconsistent system? \n" ); document.write( "
Algebra.Com's Answer #579581 by macston(5194)\"\" \"About 
You can put this solution on YOUR website!
A system of equations is consistent if it has at least one solution. There are two types:
\n" ); document.write( "TYPE 1:Independent system has exactly one solution. The graph of this system is intersecting lines.
\n" ); document.write( "Example:
\n" ); document.write( "y=2x+3
\n" ); document.write( "y=(-1/2)x+3
\n" ); document.write( "This system has exactly one solution, the intersection at point (0,3)
\n" ); document.write( "GRAPH OF CONSISTENT INDEPENDENT SYSTEM:
\n" ); document.write( "\"+graph%28+800%2C+800%2C+-5%2C+5%2C+-5%2C+5%2C+2x%2B3%2C+-0.5x%2B3%29+\"
\n" ); document.write( "TYPE 2:Consistent Dependent systems have infinite solutions Their graphs are the same line. Examples of these are multiples of an equation.
\n" ); document.write( "Example:
\n" ); document.write( "y=2X-3
\n" ); document.write( "y=(4X-6)/2
\n" ); document.write( "GRAPH OF CONSISTENT DEPENDENT EQUATIONS:
\n" ); document.write( "\"+graph%28+800%2C+800%2C+-5%2C+5%2C+-5%2C+5%2C+2x-3%2C+%284x-6%29%2F2%29\"
\n" ); document.write( "This graph looks like one line because the lines overlap, so there are infinite solutions. \r
\n" ); document.write( "\n" ); document.write( "INCONSISTENT SYSTEMS HAVE NO SOLUTIONS (No common solution)
\n" ); document.write( "Examples of this are parallel lines.
\n" ); document.write( "y=2x+2
\n" ); document.write( "y=2x+6
\n" ); document.write( "GRAPH OF INCONSISTENT SYSTEM:
\n" ); document.write( "\"+graph%28+800%2C+800%2C+-5%2C+5%2C+-5%2C+5%2C+2x%2B2%2C+2x%2B6%29\"\r
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