document.write( "Question 65845This question is from textbook An Incremental Development
\n" ); document.write( ": Solve\r
\n" ); document.write( "\n" ); document.write( "x + y + z = 5\r
\n" ); document.write( "\n" ); document.write( "x - 2y + z = 8\r
\n" ); document.write( "\n" ); document.write( "3x - y - z = 3 \n" ); document.write( "
Algebra.Com's Answer #46630 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
x + y + z = 5
\n" ); document.write( "x - 2y + z = 8
\n" ); document.write( "3x - y - z = 3
\n" ); document.write( ":
\n" ); document.write( "The problem lends itself the elimination method
\n" ); document.write( "Add the 1st and 3rd equations and find x:
\n" ); document.write( "x + y + z = 5
\n" ); document.write( "3x - y - z = 3
\n" ); document.write( "------------------add
\n" ); document.write( "4x + 0y + 0z = 8
\n" ); document.write( "x = 8/4
\n" ); document.write( "x = 2
\n" ); document.write( ":
\n" ); document.write( "Substitute 2 for x in the 2nd and 3rd equations
\n" ); document.write( " 2 - 2y + z = 8
\n" ); document.write( "3(2) -y - z = 3
\n" ); document.write( ":
\n" ); document.write( "2 - 2y + z = 8
\n" ); document.write( "6 - y - z = 3
\n" ); document.write( "--------------- add
\n" ); document.write( "8 - 3y + 0z = 11
\n" ); document.write( "-3y = 11 - 8
\n" ); document.write( "y = 3/-3
\n" ); document.write( "y = -1
\n" ); document.write( ":
\n" ); document.write( "I'll let you find the value of z. Check solutions in the original equations.
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