document.write( "Question 398855: Solve the system using the elimination or substitution method. x + 2y - 3z = 9; -x + 3y - 2z = 1; 2x - 5y + 2z = 2 \n" ); document.write( "
Algebra.Com's Answer #282527 by checkley79(3341)\"\" \"About 
You can put this solution on YOUR website!
x + 2y - 3z = 9
\n" ); document.write( "-x + 3y - 2z = 1
\n" ); document.write( "2x - 5y + 2z = 2 ADD
\n" ); document.write( "------------------
\n" ); document.write( "2X+0Y-3Z=12
\n" ); document.write( "2X-3Z=12
\n" ); document.write( "MULTIPLY THE FIRST EQUATION BY 3.
\n" ); document.write( "MULTIPLY THE SECOND EQUATION BY -2& ADD
\n" ); document.write( "3X+6Y-9Z=27
\n" ); document.write( "2X-6Y+4Z=-2
\n" ); document.write( "--------------
\n" ); document.write( "5X-5Z=25 MULTIPLY BY 2
\n" ); document.write( "2X-3Z=12 MULTIPLY BY -5 & ADD.
\n" ); document.write( "10X-10Z=50
\n" ); document.write( "-10X+15Z=-60
\n" ); document.write( "----------------
\n" ); document.write( "5Z=-10
\n" ); document.write( "Z=-10/5
\n" ); document.write( "Z=-2 ANS.
\n" ); document.write( "5X-5*-2=25
\n" ); document.write( "5X+10=25
\n" ); document.write( "5X=25-10
\n" ); document.write( "5X=15
\n" ); document.write( "X=15/5
\n" ); document.write( "X=3 ANS.
\n" ); document.write( "3+2Y-3*-2=9
\n" ); document.write( "3+2Y+6=9
\n" ); document.write( "2Y=9-3-6
\n" ); document.write( "2Y=0
\n" ); document.write( "Y=0 ANS.
\n" ); document.write( "PROOF:
\n" ); document.write( "2*3-5*0+2*-2=2
\n" ); document.write( "6+0-4=2
\n" ); document.write( "2=2
\n" ); document.write( "
\n" );