document.write( "Question 795397: using matrices to solve the systems.\r
\n" ); document.write( "\n" ); document.write( "x+5y= 0
\n" ); document.write( "x+6y+z= 1
\n" ); document.write( "5x-y-z+= -101\r
\n" ); document.write( "\n" ); document.write( "this is what i came up with but it doesn't look right, plz help\r
\n" ); document.write( "\n" ); document.write( "1 5 0 0
\n" ); document.write( "0 1 1 1
\n" ); document.write( "0 0 1 127/27
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #480978 by AnlytcPhil(1809) $\"\"$ $\"About$

You can put this solution on YOUR website!
x+5y= 0
\n" ); document.write( " x+6y+z= 1
\n" ); document.write( " 5x-y-z+= -101
\n" ); document.write( "

\r\n" );
document.write( "Note: the number I write on the left\r\n" );
document.write( "of each matrix tells what I'm going to \r\n" );
document.write( "multiply a row by and add it to the\r\n" );
document.write( "row with a 1 left of it to get the\r\n" );
document.write( "next matrix:\r\n" );
document.write( "\r\n" );
document.write( "-1[1  5  0 |    0]\r\n" );
document.write( " 1[1  6  1 |    1]\r\n" );
document.write( "  [5 -1 -1 | -101]\r\n" );
document.write( "\r\n" );
document.write( "-5[1  5  0 |    0]\r\n" );
document.write( "  [0  1  1 |    1]\r\n" );
document.write( " 1[5 -1 -1 | -101]\r\n" );
document.write( "\r\n" );
document.write( " 1[1   5  0 |    0]\r\n" );
document.write( "-5[0   1  1 |    1]\r\n" );
document.write( "  [0 -26 -1 | -101]\r\n" );
document.write( "\r\n" );
document.write( "  [1   0 -5 |   -5]\r\n" );
document.write( "26[0   1  1 |    1]\r\n" );
document.write( " 1[0 -26 -1 | -101]\r\n" );
document.write( "\r\n" );
document.write( "   [1   0 -5 |  -5]\r\n" );
document.write( "   [0   1  1 |   1]\r\n" );
document.write( "÷25[0   0 25 | -75]\r\n" );
document.write( "\r\n" );
document.write( "  1[1   0 -5 | -5]\r\n" );
document.write( "   [0   1  1 |  1]\r\n" );
document.write( "  5[0   0  1 | -3] \r\n" );
document.write( "\r\n" );
document.write( "   [1   0  0 |-20]\r\n" );
document.write( "  1[0   1  1 |  1]\r\n" );
document.write( " -1[0   0  1 | -3]\r\n" );
document.write( "\r\n" );
document.write( "   [1   0  0 |-20]\r\n" );
document.write( "   [0   1  0 |  4]\r\n" );
document.write( "   [0   0  1 | -3]\r\n" );
document.write( "\r\n" );
document.write( "x=-20, y=4, z=-3\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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