document.write( "Question 974179: 2x+y+4z=2
\n" ); document.write( "3x+2y+5z=4
\n" ); document.write( "x+3y+z=6 \n" ); document.write( "

Algebra.Com's Answer #596160 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
I would use determinants.
\n" ); document.write( "-----
\n" ); document.write( "Here's the elimination method:
\n" ); document.write( "2x + 1y + 4z = 2
\n" ); document.write( "3x + 2y + 5z = 4
\n" ); document.write( "1x + 3y + 1z = 6
\n" ); document.write( "------------------
\n" ); document.write( "4x + 2y + 8z = 4 Eqn 1 times 2
\n" ); document.write( "3x + 2y + 5z = 4
\n" ); document.write( "--------------------- Subtract
\n" ); document.write( "x + 3z = 0 Eqn A
\n" ); document.write( "===============================
\n" ); document.write( "6x + 3y +12z = 6 Eqn 1 times 3
\n" ); document.write( "1x + 3y + 1z = 6 Eqn 3
\n" ); document.write( "------------------------- Subtract
\n" ); document.write( "5x + 11z = 0 Eqn B
\n" ); document.write( "5x + 15z = 0 Eqn A times 5
\n" ); document.write( "----------------- Subtract
\n" ); document.write( "-4z = 0
\n" ); document.write( "z = 0 **************
\n" ); document.write( "x + 3z = 0 Eqn A
\n" ); document.write( "x = 0 **************
\n" ); document.write( "y = 2 **************
\n" ); document.write( "--> (0,2,0) \n" ); document.write( "

\n" );