document.write( "Question 1075270: Solve the system of equations using matrices. Use Gaussian elimination with back-substitution.
\n" ); document.write( "x + y + z = -5
\n" ); document.write( "x - y + 3z = -1
\n" ); document.write( "4x + y + z = -2
\n" ); document.write( " Pls provide step by step answer \n" ); document.write( "

Algebra.Com's Answer #690033 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Add R1 and R2,
\n" ); document.write( " $\"x%2By%2Bz%2Bx-y%2B3z=-5-1\"$
\n" ); document.write( " $\"2x%2B4z=-6\"$
\n" ); document.write( "R4: $\"x%2B2z=-3\"$
\n" ); document.write( "Add R2 and R3,
\n" ); document.write( " $\"x-y%2B3z%2B4x%2By%2Bz=-1-2\"$
\n" ); document.write( "R5: $\"5x%2B4z=-3\"$
\n" ); document.write( "Multiply R4 by -5 and add to R5,
\n" ); document.write( " $\"-5x-10z%2B5x%2B4z=15-3\"$
\n" ); document.write( " $\"-6z=12\"$
\n" ); document.write( " $\"z=-2\"$
\n" ); document.write( "So then working backwards,
\n" ); document.write( " $\"x%2B2%28-2%29=-3\"$
\n" ); document.write( " $\"x-4=-3\"$
\n" ); document.write( " $\"x=1\"$
\n" ); document.write( "and
\n" ); document.write( " $\"1%2By-2=-5\"$
\n" ); document.write( " $\"y=-4\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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