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Using the elimination method, solve the system.
\n" ); document.write( " x - y + z =-6
\n" ); document.write( "2x - y +2z = 9
\n" ); document.write( " x + y -3z = 4
\n" ); document.write( ":
\n" ); document.write( "Add equations 1 & 3
\n" ); document.write( " x - y + z =-6
\n" ); document.write( " x + y -3z = 4
\n" ); document.write( "------------------eliminates y
\n" ); document.write( "2x - 2z = -2
\n" ); document.write( "Simplify, divide by 2
\n" ); document.write( "x - z = -1
\n" ); document.write( ":
\n" ); document.write( "Add equations 2 & 3
\n" ); document.write( "2x - y +2z = 9
\n" ); document.write( " x + y -3z = 4
\n" ); document.write( "-----------------eliminates y again
\n" ); document.write( "3x - z = 13
\n" ); document.write( ":
\n" ); document.write( "Using these two 2 unknown equations
\n" ); document.write( "3x -z = 13
\n" ); document.write( "x - z = -1
\n" ); document.write( "--------------subtractions eliminates z, find x
\n" ); document.write( "2x = 14
\n" ); document.write( "x = 14/2
\n" ); document.write( "x = 7
\n" ); document.write( ":
\n" ); document.write( "Using x - z = -1, find z
\n" ); document.write( "7 - z = -1
\n" ); document.write( "-z = -1 - 7
\n" ); document.write( "-z = -8
\n" ); document.write( "z = 8
\n" ); document.write( ":
\n" ); document.write( "Find y using the 1st equation, substitute for x and z
\n" ); document.write( " x - y + z =-6
\n" ); document.write( " 7 - y + 8 = -6
\n" ); document.write( "15 - y = -6
\n" ); document.write( "-y = -6 - 15
\n" ); document.write( "-y = -21
\n" ); document.write( "y = 21
\n" ); document.write( ":
\n" ); document.write( "you can check solutions in the 2nd or 3rd equations
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