document.write( "Question 152176: write the system of linear equations represented by the augmented matrix. Use x,y,z and if necessary w,x,y,z for the variables. \r
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document.write( "|4 1 5 1| 6|
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document.write( "|1 -1 0 -1| 8|
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document.write( "|3 0 0 7| 4|
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document.write( "|0 0 11 5| 3| \n" );
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Algebra.Com's Answer #111848 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! write the system of linear equations represented by the augmented matrix. Use x,y,z and if necessary w,x,y,z for the variables. \n" ); document.write( " \r\n" ); document.write( "|4 1 5 1| 6|\r\n" ); document.write( "|1 -1 0 -1| 8|\r\n" ); document.write( "|3 0 0 7| 4|\r\n" ); document.write( "|0 0 11 5| 3|\r\n" ); document.write( "\r\n" ); document.write( "Put w's after the numbers in the first column:\r\n" ); document.write( "Put x's after the numbers in the second column:\r\n" ); document.write( "Put y's after the numbers in the third column:\r\n" ); document.write( "Put z's after the numbers in the fourth column:\r\n" ); document.write( "\r\n" ); document.write( "|4w 1x 5y 1z| 6|\r\n" ); document.write( "|1w-1x 0y-1z| 8|\r\n" ); document.write( "|3w 0x 0y 7z| 4|\r\n" ); document.write( "|0w 0x 11y 5z| 3|\r\n" ); document.write( "\r\n" ); document.write( "Put in + signs between terms if there's not a \r\n" ); document.write( "sign between them\r\n" ); document.write( "\r\n" ); document.write( "|4w+1x+ 5y+1z| 6|\r\n" ); document.write( "|1w-1x+ 0y-1z| 8|\r\n" ); document.write( "|3w+0x+ 0y+7z| 4|\r\n" ); document.write( "|0w+0x+11y+5z| 3|\r\n" ); document.write( "\r\n" ); document.write( "Replace all the \"|\" after the z's with equal signs:\r\n" ); document.write( "\r\n" ); document.write( "|4w+1x+ 5y+1z= 6|\r\n" ); document.write( "|1w-1x+ 0y-1z= 8|\r\n" ); document.write( "|3w+0x+ 0y+7z= 4|\r\n" ); document.write( "|0w+0x+11y+5z= 3|\r\n" ); document.write( "\r\n" ); document.write( "Erase all the terms with a 0 coefficient:\r\n" ); document.write( "\r\n" ); document.write( "|4w+1x+ 5y+1z= 6|\r\n" ); document.write( "|1w-1x -1z= 8|\r\n" ); document.write( "|3w +7z= 4|\r\n" ); document.write( "| 11y+5z= 3|\r\n" ); document.write( "\r\n" ); document.write( "Erase all the 1 coefficients:\r\n" ); document.write( "\r\n" ); document.write( "|4w+ x+ 5y+ z= 6|\r\n" ); document.write( "| w- x - z= 8|\r\n" ); document.write( "|3w +7z= 4|\r\n" ); document.write( "| 11y+5z= 3|\r\n" ); document.write( "\r\n" ); document.write( "Write as a system of equations:\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( " |