document.write( "Question 208502: solve algebraically: 6x-3y+8z=4
\n" ); document.write( " -x+9y--2z=2
\n" ); document.write( " 4x+6y-4z=3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A) (5/2, 5/3, -3/4)\r
\n" ); document.write( "\n" ); document.write( "B) (1,-2,-1)\r
\n" ); document.write( "\n" ); document.write( "C) (1/2, 1/3, 1/4)\r
\n" ); document.write( "\n" ); document.write( "d) (5, -2, 5/4)
\n" ); document.write( "

Algebra.Com's Answer #158464 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
solve algebraically:
\n" ); document.write( "6x-3y+8z=4
\n" ); document.write( "-x+9y--2z=2 ?? I'll assume the -- is a typo.
\n" ); document.write( "4x+6y-4z=3
\n" ); document.write( "-----------
\n" ); document.write( "6x-3y+8z=4
\n" ); document.write( "-x+9y-2z=2
\n" ); document.write( "4x+6y-4z=3
\n" ); document.write( "----------
\n" ); document.write( "I'll use elimination & substitution
\n" ); document.write( "Since z has 2, 4 and 8 for coefficients, eliminate it
\n" ); document.write( "-x+9y-2z=2 x2 --> -2x+18y-4z = 4
\n" ); document.write( "+4x+6y-4z=3
\n" ); document.write( "-2x+18y-4z=4
\n" ); document.write( "---------- Subtract
\n" ); document.write( "6x-12y = -1 Eqn A
\n" ); document.write( "-----------
\n" ); document.write( "6x-3y+8z=4
\n" ); document.write( "-x+9y-2z=2 x4 --> -4x+36y-8z=8
\n" ); document.write( "-----------
\n" ); document.write( "+6x-3y+8z=4
\n" ); document.write( "-4x+36y-8z=8
\n" ); document.write( "------------ Add
\n" ); document.write( "2x+33y = 12 Eqn B
\n" ); document.write( "6x-12y = -1 Eqn A
\n" ); document.write( "6x+99y = 36 Eqn b x 3
\n" ); document.write( "----------- Subtract
\n" ); document.write( "-111y = -37
\n" ); document.write( "y = 1/3
\n" ); document.write( "Now sub for y into Eqn A or B to find x
\n" ); document.write( "2x+33y = 12 Eqn B
\n" ); document.write( "2x+11 = 12
\n" ); document.write( "x = 1/2
\n" ); document.write( "-------
\n" ); document.write( "Sub x & y into one of the originals to find z
\n" ); document.write( "4x+6y-4z=3
\n" ); document.write( "2 + 2 -4z = 3
\n" ); document.write( "-4z = -1
\n" ); document.write( "z = 1/4
\n" ); document.write( "
\n" ); document.write( "
\n" );