document.write( "Question 50323: please help me solve the following system equation with three variables!!\r
\n" ); document.write( "\n" ); document.write( "2u-3v=13
\n" ); document.write( "3v+W=-3
\n" ); document.write( "4U-W=2
\n" ); document.write( "

Algebra.Com's Answer #33419 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "Line up the equations like this:\r\n" );
document.write( "\r\n" );
document.write( "2u - 3v     =  13\r\n" );
document.write( "     3v + w =  -3\r\n" );
document.write( "4u      - w =   2\r\n" );
document.write( "\r\n" );
document.write( "Eliminate w by adding the second and 3rd equations:\r\n" );
document.write( "\r\n" );
document.write( "     3v + w =  -3\r\n" );
document.write( "4u      - w =   2\r\n" );
document.write( "-----------------\r\n" );
document.write( "4u + 3v     =  -1\r\n" );
document.write( "\r\n" );
document.write( "Solve the system consisting of this equation\r\n" );
document.write( "and the first original equation:\r\n" );
document.write( "\r\n" );
document.write( "4u + 3v = -1\r\n" );
document.write( "2u - 3v = 13\r\n" );
document.write( "\r\n" );
document.write( "Eliminate v by adding these equations:\r\n" );
document.write( "\r\n" );
document.write( "4u + 3v = -1\r\n" );
document.write( "2u - 3v = 13\r\n" );
document.write( "------------\r\n" );
document.write( "6u      = 12\r\n" );
document.write( "      u = 2\r\n" );
document.write( "\r\n" );
document.write( "Substitute that in \r\n" );
document.write( "\r\n" );
document.write( "  2u - 3v = 13\r\n" );
document.write( "2(2) - 3v = 13\r\n" );
document.write( "   4 - 3v = 13\r\n" );
document.write( "      -3v = 9\r\n" );
document.write( "        v = -3\r\n" );
document.write( "       \r\n" );
document.write( "Substitute that in \r\n" );
document.write( "\r\n" );
document.write( "     3v + w = -3\r\n" );
document.write( "\r\n" );
document.write( "  3(-3) + w = -3\r\n" );
document.write( "\r\n" );
document.write( "     -9 + w = -3\r\n" );
document.write( "  \r\n" );
document.write( "          w = 6\r\n" );
document.write( "\r\n" );
document.write( "(u, v, w) = (2, -3, 6)  \r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );