document.write( "Question 370091: Use the elimination method to solve the following system of equations. x + 3y – z = 2 x – 2y + 3z = 7
\n" ); document.write( "x + 2y – 5z = –21
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Algebra.Com's Answer #263762 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"x+%2B+3y+-z+=+2++\"$
\n" ); document.write( "2. $\"x+-2y+%2B+3z+=+7\"$
\n" ); document.write( "3. $\"x+%2B+2y+-+5z+=+-21\"$
\n" ); document.write( "Subtract eq. 1 from eq. 2,
\n" ); document.write( " $\"x-2y%2B3z-x-3y%2Bz=7-2\"$
\n" ); document.write( "4. $\"-5y%2B4z=5\"$
\n" ); document.write( "Subtract eq. 1 from eq. 3,
\n" ); document.write( " $\"x%2B2y-5z-x-3y%2Bz=-21-2\"$
\n" ); document.write( "5. $\"-y-4z=-23\"$
\n" ); document.write( "Add eq. 4 and eq. 5,
\n" ); document.write( " $\"-5y%2B4z-y-4z=5-23\"$
\n" ); document.write( " $\"-6y=-18\"$
\n" ); document.write( " $\"highlight%28+y=3%29\"$
\n" ); document.write( "Then from eq. 5
\n" ); document.write( " $\"-3-4z=-23\"$
\n" ); document.write( " $\"-4z=-20\"$
\n" ); document.write( " $\"highlight%28z=5%29\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"x+%2B+3%283%29+-+5+=+2++\"$
\n" ); document.write( " $\"x%2B4=2\"$
\n" ); document.write( " $\"highlight%28x=-2%29\"$
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