document.write( "Question 499998: Hi, I have worked this problem over and over, but I can't seem to get it right. The directions are to solve using the elimination method. Thanks for your help!\r
\n" ); document.write( "\n" ); document.write( "4x-y+2z=-18
\n" ); document.write( "-x+2y+z=11
\n" ); document.write( "3x+3y-4z=44 \n" ); document.write( "
Algebra.Com's Answer #337973 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
4x - y + 2z =-18
\n" ); document.write( "-x+ 2y + z =11
\n" ); document.write( "3x+ 3y- 4z =44
\n" ); document.write( ":
\n" ); document.write( "Multiply the last equation by -1
\n" ); document.write( "4x - y + 2z =-18
\n" ); document.write( "-x+ 2y + z = 11
\n" ); document.write( "-3x-3y + 4z =-44
\n" ); document.write( "--------------------addition eliminates x
\n" ); document.write( "0 - 2y + 7z = -51
\n" ); document.write( ":
\n" ); document.write( "multiply the 2nd equation by 3, add to the 3rd equation
\n" ); document.write( "-3x+ 6y + 3z = 33
\n" ); document.write( "3x + 3y - 4z = 44
\n" ); document.write( "--------------------Addition eliminates x
\n" ); document.write( "0 + 9y - z = 77
\n" ); document.write( "Multiply this eq by 7, add to the other 2 unknown equation
\n" ); document.write( "63y - 7z = 539
\n" ); document.write( "-2y + 7z = -51
\n" ); document.write( "---------------------addition eliminates z find y
\n" ); document.write( "61y = 488
\n" ); document.write( "y = \"488%2F61\"
\n" ); document.write( "y = 8
\n" ); document.write( ":
\n" ); document.write( "Find z using: -2y + 7z = -51
\n" ); document.write( "-2(8) + 7z = -51
\n" ); document.write( "-16 + 7z = -51
\n" ); document.write( "7z = -51 + 16
\n" ); document.write( "7z = -35
\n" ); document.write( "z = \"%28-35%29%2F7\"
\n" ); document.write( "z = -5
\n" ); document.write( ":
\n" ); document.write( "Find x using the 3rd original equation; 3x + 3y - 4z = 44
\n" ); document.write( "3x + 3(8) - 4(-5) = 44
\n" ); document.write( "3x + 24 + 20 = 44
\n" ); document.write( "3x + 44 = 44
\n" ); document.write( "3x = 44 - 44
\n" ); document.write( "3x = 0
\n" ); document.write( "x = 0
\n" ); document.write( ":
\n" ); document.write( "Summarize: x=0; y=8; z=-5
\n" ); document.write( ":
\n" ); document.write( "Confirm this in the 1st original equation; 4x - y + 2z =-18
\n" ); document.write( "4(0) - 8 + 2(-5) = -18
\n" ); document.write( "9 - 8 - 10 = -18, OK \n" ); document.write( "
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