document.write( "Question 464634: solve this system of equation \r
\n" ); document.write( "\n" ); document.write( "2x+y-z=10
\n" ); document.write( "6x+5y-2z=23
\n" ); document.write( "3x-y+z=5
\n" ); document.write( "

Algebra.Com's Answer #318422 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
solve this system of equation
\n" ); document.write( "2x+y-z=10
\n" ); document.write( "6x+5y-2z=23
\n" ); document.write( "3x-y+z=5
\n" ); document.write( "...
\n" ); document.write( "1) 2x+y-z=10
\n" ); document.write( "2) 6x+5y-2z=23
\n" ); document.write( "3) 3x-y+z=5
\n" ); document.write( "..
\n" ); document.write( "3) 3x-y+z=5
\n" ); document.write( "1) 2x+y-z=10
\n" ); document.write( "add, eliminating y & z
\n" ); document.write( "4) 5x=15
\n" ); document.write( "x=3
\n" ); document.write( "..
\n" ); document.write( "2) 6x+5y-2z=23
\n" ); document.write( "5) 4x+2y-2z=20 (multiply eq 1 by 2)
\n" ); document.write( "subtract
\n" ); document.write( "2x+3y=3
\n" ); document.write( "sub x
\n" ); document.write( "2*3+3y=3
\n" ); document.write( "6+3y=3
\n" ); document.write( "3y=3-6=-3
\n" ); document.write( "y=-1
\n" ); document.write( "..
\n" ); document.write( "3) 3x-y+z=5
\n" ); document.write( "sub x & y
\n" ); document.write( "3*3-(-1)+z=5
\n" ); document.write( "9+1+z=5
\n" ); document.write( "z=5-10=-5
\n" ); document.write( "..
\n" ); document.write( "Check:
\n" ); document.write( "1) 2x+y-z=6-1+5=10
\n" ); document.write( "2) 6x+5y-2z=18-5+10=23
\n" ); document.write( "3) 3x-y+z=5=9+1-5=5
\n" ); document.write( "Ans:
\n" ); document.write( "x=3
\n" ); document.write( "y=-1
\n" ); document.write( "z=-5
\n" ); document.write( "
\n" );