document.write( "Question 506518: 2x + 3y - 4z = 7
\n" ); document.write( "3x + 4y - 2z = 9
\n" ); document.write( "5x + 7y - 6z = 20
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #340177 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "2x + 3y - 4z = 7\r\n" );
document.write( "3x + 4y - 2z = 9\r\n" );
document.write( "5x + 7y - 6z = 20\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Use Row 1 to get a 0 where the 3 is in Row 2:\r\n" );
document.write( "Multiply Row 1 by -3 and the Row 2 by 2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Add Row 1 to Row 2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Restore Row 1 as it was\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Use Row 1 to get a 0 where the 5 is in Row 3\r\n" );
document.write( "Multiply Row 1 by -5 and Row 3 by 2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Add Row 1 to Row 3\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Restore Row 1 as it was:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Use Row 2 to get a 0 where the -1 is in Row 3\r\n" );
document.write( "Multiply Row 2 by -1 and keep Row 3 as it is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Add Row 2 to Row 3\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Oh oh!  We can see there is no solution because\r\n" );
document.write( "the bottom Row is an abbreviation for the equation:\r\n" );
document.write( "\r\n" );
document.write( "0x + 0y + 0z = 8\r\n" );
document.write( "\r\n" );
document.write( "There are no values of x,y, or z that we can substitute\r\n" );
document.write( "for any of them that will make the left side equal to 8,\r\n" );
document.write( "because the left side will always be 0 no matter what\r\n" );
document.write( "numbers you substitute for the letters.  Therefore there\r\n" );
document.write( "is no solution and this is called an \"inconsistent\" system.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );