document.write( "Question 303263: Please help me to solve this equation:\r
\n" ); document.write( "\n" ); document.write( "x+y+z=2
\n" ); document.write( "-x+2y+3z=2
\n" ); document.write( "2x-3y-z=1
\n" ); document.write( "x-y-z=0 \n" ); document.write( "
Algebra.Com's Answer #217382 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
solve this equation:
\n" ); document.write( "x + y + z = 2
\n" ); document.write( "-x+2y +3z = 2
\n" ); document.write( "2x-3y -z = 1
\n" ); document.write( "x - y -z = 0
\n" ); document.write( ":
\n" ); document.write( "Using the 1st and 4th equation
\n" ); document.write( "x + y + z = 2
\n" ); document.write( "x - y - z = 0
\n" ); document.write( "---------------------Addition eliminates y and z, find x
\n" ); document.write( "2x = 2
\n" ); document.write( "x = 1
\n" ); document.write( ":
\n" ); document.write( "Use the 2nd and 3rd equation, replace x with 1
\n" ); document.write( "-1+2y +3z = 2
\n" ); document.write( "2 -3y -z = 1
\n" ); document.write( ":
\n" ); document.write( "+2y +3z = 2 + 1
\n" ); document.write( "3y - z = 1 - 2
\n" ); document.write( ":
\n" ); document.write( "+2y +3z = 3
\n" ); document.write( "3y - z = -1
\n" ); document.write( ":
\n" ); document.write( "Multiply the above equation by 3, and add to 2y + 3z = 3
\n" ); document.write( "9y - 3z = -3
\n" ); document.write( "2y + 3z = 3
\n" ); document.write( "----------------- addition eliminates z, find y
\n" ); document.write( "11y = 0
\n" ); document.write( "y = 0
\n" ); document.write( ":
\n" ); document.write( "Find z using: x + y + z = 2
\n" ); document.write( "1 + 0 + z = 2
\n" ); document.write( "z = 2 -1
\n" ); document.write( "z = 1
\n" ); document.write( ":
\n" ); document.write( "Summarize x=1, y=0, z=1
\n" ); document.write( ":
\n" ); document.write( "Check solution in the 2nd equation: -x+2y +3z = 2
\n" ); document.write( "-1 + 2(0) + 3(1) =
\n" ); document.write( "-1 + 3 = 2
\n" ); document.write( " \n" ); document.write( "
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