document.write( "Question 328163: solve the system\r
\n" ); document.write( "\n" ); document.write( "x-y+z=-4
\n" ); document.write( "x+2y-z=-2
\n" ); document.write( "x+y-4z=1 \n" ); document.write( "

Algebra.Com's Answer #235028 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
1. $\"x-y%2Bz=-4\"$
\n" ); document.write( "2. $\"x%2B2y-z=-2\"$
\n" ); document.write( "3. $\"x%2By-4z=1\"$
\n" ); document.write( "Subtract eq. 1 from eq. 2,
\n" ); document.write( " $\"x%2B2y-z-x%2By-z=-2-%28-4%29\"$
\n" ); document.write( "4. $\"3y-2z=2\"$
\n" ); document.write( "Subtract eq. 1 from eq. 3,
\n" ); document.write( " $\"x%2By-4z-x%2By-z=1-%28-4%29\"$
\n" ); document.write( "5. $\"2y-5z=5\"$
\n" ); document.write( "Mutliply eq. 4 by 2 and eq. 5 by -3 to eliminate y,
\n" ); document.write( " $\"6y-4z-6y%2B15z=4-15\"$
\n" ); document.write( " $\"11z=-11\"$
\n" ); document.write( " $\"highlight%28+z=-1%29\"$
\n" ); document.write( "Then use either eq.4 or eq. 5 to solve for y.
\n" ); document.write( " $\"3y%2B2=2\"$
\n" ); document.write( " $\"3y=0\"$
\n" ); document.write( " $\"highlight%28+y=0%29\"$
\n" ); document.write( "Finally use 1,2,3 to solve for x.
\n" ); document.write( " $\"x%2B0%2B%28-1%29=-4\"$
\n" ); document.write( " $\"highlight%28+x=-3%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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