document.write( "Question 470317: Hi. I need some assistance on how to work this problem out.
\n" ); document.write( "Consider this system:
\n" ); document.write( "{3(x+y)=x-3
\n" ); document.write( "-y=2x+3/3\r
\n" ); document.write( "\n" ); document.write( "I need to figure out if they are dependent or independent and if it's consistent or inconsistent. Thank you for your time. \n" ); document.write( "

Algebra.Com's Answer #322604 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi,
\n" );
document.write( "A consistent system has at least one solution.
\n" );
document.write( "An inconsistent system has no solutions.
\n" );
document.write( "An independent system has exactly one solution.
\n" );
document.write( "A dependent system has infinitely many solutions.\r
\n" );
document.write( "\n" );
document.write( "3(x+y)=x-3
\n" );
document.write( "-y = (2x+3)/3 \r
\n" );
document.write( "\n" );
document.write( " 2x+3y = -3
\n" );
document.write( "-2x-3y = 3
\n" );
document.write( "   0 = 0  Dependent system, has infinitely many solutions
\n" );
document.write( "Graphically these EQs represent same Line \n" );
document.write( "

\n" );