document.write( "Question 164243: Explain the differences among a consistent system, an inconsistent system, and a dependent system. \n" ); document.write( "
Algebra.Com's Answer #121014 by padmameesala(42)![]() ![]() ![]() You can put this solution on YOUR website! A system is consistent if there is at least one solution. \n" ); document.write( "for example x+y=1 and 3x+y-2\r \n" ); document.write( "\n" ); document.write( " A system is inconsistent if it has no solutions \n" ); document.write( "(When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as a proof that 0 = 1.) \n" ); document.write( "for example 3x+7y=3 and 3x+7y=10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A system of equations are dependent if both the equations represent the same equation \n" ); document.write( "for example 2x+3y=2 and 4x+6y=4 \n" ); document.write( " \n" ); document.write( " |