document.write( "Question 469233: How do I solve:\r
\n" ); document.write( "\n" ); document.write( "x+y+z=4
\n" ); document.write( "x+y-z=6
\n" ); document.write( "2x-3y+z=-1\r
\n" ); document.write( "\n" ); document.write( "Thank you for your time.
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Algebra.Com's Answer #321927 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
1) x+y+z=4
\n" ); document.write( "2) x+y-z=6
\n" ); document.write( "3) x-3y+z=-1
\n" ); document.write( "...
\n" ); document.write( "1) x+y+z=4
\n" ); document.write( "2) x+y-z=6
\n" ); document.write( "add to eliminate z
\n" ); document.write( "4) 2x+2y=10
\n" ); document.write( "..
\n" ); document.write( "2) x+y-z=6
\n" ); document.write( "3) x-3y+z=-1
\n" ); document.write( "add to eliminate z
\n" ); document.write( "5) 2x-2y=5
\n" ); document.write( "..
\n" ); document.write( "4) 2x+2y=10
\n" ); document.write( "5) 2x-2y=5
\n" ); document.write( "add to eliminate y
\n" ); document.write( "4x=15
\n" ); document.write( "x=15/4
\n" ); document.write( "2y=2x-5=15/2-5=15/2-10/2=5/2
\n" ); document.write( "y=5/4
\n" ); document.write( "z=4-x-y=4-15/4-5/4=16/4-15/4-5/4=-4/4=-1
\n" ); document.write( "Check:
\n" ); document.write( "1) x+y+z=15/4+5/4-1=20/4-4/4=16/4=4
\n" ); document.write( "2) x+y-z=15/4+5/4+1=20/4+4/4=24/4=6
\n" ); document.write( "3) x-3y+z=15/4-3(5/4)-1=15/4-15/4-1=-1
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