document.write( "Question 384240: Write the augmented matrix for the system of equations and solve the system.
\n" );
document.write( "2x–3y+2z=2
\n" );
document.write( "x+ 4y-z=9
\n" );
document.write( "-3x+y–5z=5 \r
\n" );
document.write( "\n" );
document.write( "so far, I have,\r
\n" );
document.write( "\n" );
document.write( "2 -3 2 |2
\n" );
document.write( "1 4 1 |9
\n" );
document.write( "-3 1 -5 |5\r
\n" );
document.write( "\n" );
document.write( "1 4 1 |9
\n" );
document.write( "2 -3 2 |2
\n" );
document.write( "-3 1 -5 |5\r
\n" );
document.write( "\n" );
document.write( "1 4 1 |9
\n" );
document.write( "0 -11 4 |-16
\n" );
document.write( "0 13 -8 |32\r
\n" );
document.write( "\n" );
document.write( "1 4 1 |9
\n" );
document.write( "0 1 -1 |11
\n" );
document.write( "0 1 5 |-5\r
\n" );
document.write( "\n" );
document.write( "1 4 1 |9
\n" );
document.write( "0 1 -1 |11
\n" );
document.write( "0 0 6 |16\r
\n" );
document.write( "\n" );
document.write( "1 4 1 |9
\n" );
document.write( "0 1 -1 |11
\n" );
document.write( "0 0 1 |29\r
\n" );
document.write( "\n" );
document.write( "X+4y-z=9
\n" );
document.write( "y-z=11
\n" );
document.write( "z=29\r
\n" );
document.write( "\n" );
document.write( "x=-122
\n" );
document.write( "y=40
\n" );
document.write( "z=29\r
\n" );
document.write( "\n" );
document.write( "I plugged in my solutions to the equation to see if they are right, but didn't work. What did I do wrong?\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #271992 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Your first matrix should be\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 -3 2 |2 \n" ); document.write( "1 4 -1 |9 \n" ); document.write( "-3 1 -5 |5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Notice that the 3rd entry in the 2nd row is -1 and NOT 1.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Try it again and tell me what you get. \n" ); document.write( " |