document.write( "Question 315481: Please help me solve this system of equations using the Gauss-Jordan method.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4x - 3y +z +w = 21
\n" ); document.write( "-2x - y + 2z + 7w = 2
\n" ); document.write( "10x - 5z - 20w = 15 \n" ); document.write( "

Algebra.Com's Answer #225716 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "

\r\n" );
document.write( "Write the augmented matrix:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "1*R1+2*R2->R2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "-5*R1+2*R3->R3\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "*R2->R2\r\n" );
document.write( "*R3->R3\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " 3*R2+1*R1->R1\r\n" );
document.write( "-1*R2+1*R3->R3\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "*R1->R1\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Write as a system of equations:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve only for the first two variables, since there are\r\n" );
document.write( "only two equations:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Let z be arbitrary variable  and let w be arbitrary variable \r\n" );
document.write( "\r\n" );
document.write( " \r\n" );
document.write( "\r\n" );
document.write( "or\r\n" );
document.write( "\r\n" );
document.write( "(x, y, z, w) = (,-5+a+3b,a,b)\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );