document.write( "Question 1051757: Systems of Equations in three variables
\n" ); document.write( "x-4y+3z=-27
\n" ); document.write( "2x+2y-3z=22
\n" ); document.write( "4z-=-16 \n" ); document.write( "

Algebra.Com's Answer #667232 by Fombitz(32388) $\"\"$ $\"About$

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From eq. 3,
\n" ); document.write( " $\"z=-4\"$
\n" ); document.write( "Substitute into eq. 1 and eq. 2,
\n" ); document.write( " $\"x-4y%2B3%28-4%29=-27\"$
\n" ); document.write( "3. $\"x-4y=-15\"$
\n" ); document.write( "and
\n" ); document.write( " $\"2x%2B2y-3%28-4%29=22\"$
\n" ); document.write( " $\"2x%2B2y=10\"$
\n" ); document.write( "4. $\"x%2By=5\"$
\n" ); document.write( "Subtract eq. 4 from eq. 3,
\n" ); document.write( " $\"x-4y-x-y=-15-5\"$
\n" ); document.write( " $\"-5y=-20\"$
\n" ); document.write( " $\"y=4\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"x%2B4=5\"$
\n" ); document.write( " $\"x=1\"$
\n" ); document.write( "So,
\n" ); document.write( "( $\"x\"$ , $\"y\"$ , $\"z\"$ )=( $\"1\"$ , $\"4\"$ , $\"-4\"$ )
\n" ); document.write( " \n" ); document.write( "

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