document.write( "Question 271696: Solve the following 3 by 3 system algebraically.
\n" ); document.write( "x+y+2z=0
\n" ); document.write( "1/4x-1/4y+1/8z=1
\n" ); document.write( "3/2x+y+1/2z=1 \n" ); document.write( "

Algebra.Com's Answer #198931 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'm not sure what \"algebraically\" means.
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\n" ); document.write( "x+y+2z=0
\n" ); document.write( "1/4x-1/4y+1/8z=1 --> 2x-2y+z = 8
\n" ); document.write( "3/2x+y+1/2z=1 --> 3x+2y+z = 2
\n" ); document.write( "---------------
\n" ); document.write( "x + y+2z = 0
\n" ); document.write( "2x-2y +z = 8
\n" ); document.write( "3x+2y +z = 2
\n" ); document.write( "Eliminate y
\n" ); document.write( "------------
\n" ); document.write( "Add eqns 2 and 3
\n" ); document.write( "2x-2y +z = 8
\n" ); document.write( "3x+2y +z = 2
\n" ); document.write( "------------- Add
\n" ); document.write( "5x + 2z = 10 eqn A
\n" ); document.write( "--------------
\n" ); document.write( "Add 2x 1st eqn to 2nd
\n" ); document.write( "2x+2y+4z = 0
\n" ); document.write( "2x-2y +z = 8
\n" ); document.write( "------------Add
\n" ); document.write( "4x + 5z = 8 eqn B
\n" ); document.write( "20x +25z = 40 eqn B x 5
\n" ); document.write( "20x + 8z = 40 eqn A x 4
\n" ); document.write( "------------------------ Subtract
\n" ); document.write( "17z = 0
\n" ); document.write( "z = 0
\n" ); document.write( "------
\n" ); document.write( "x = 2
\n" ); document.write( "-----
\n" ); document.write( "y = -2
\n" ); document.write( " \n" ); document.write( "

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