document.write( "Question 306818: Solve the system of equations to the right using matrices. Use Gaussian elimination with back substitution or Gauss Jordan elimination.\r
\n" ); document.write( "\n" ); document.write( "x + y + z= 9
\n" ); document.write( "x - y - z= -7
\n" ); document.write( "x -y + z = 1\r
\n" ); document.write( "\n" ); document.write( "The solution set is [_, _, _] \n" ); document.write( "

Algebra.Com's Answer #219520 by JBarnum(2146) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%2By%2Bz=9\"$
\n" ); document.write( " $\"x-y-z=-7\"$
\n" ); document.write( " $\"x-y%2Bz=1\"$
\n" ); document.write( "by now you should know the elimination method, because that is what u need to know to solve this problem, the first 2 equations are perfect, so lets add them together\r
\n" ); document.write( "\n" ); document.write( " $\"x%2By%2Bz=9\"$
\n" ); document.write( " $\"x-y-z=-7\"$ solve for x
\n" ); document.write( " $\"2x%2B0%2B0=2\"$ divide by 2
\n" ); document.write( " $\"x=1\"$
\n" ); document.write( "take the second 2 equations and solve for y
\n" ); document.write( " $\"x-y-z=-7\"$
\n" ); document.write( " $\"x-y%2Bz=1\"$
\n" ); document.write( "_ _ _ _ _ _ _
\n" ); document.write( " $\"1-y-z=-7\"$
\n" ); document.write( " $\"1-y%2Bz=1\"$ add the equations together
\n" ); document.write( " $\"2-2y%2B0=6\"$
\n" ); document.write( " $\"-2y=4\"$
\n" ); document.write( " $\"y=-2\"$
\n" ); document.write( "_ _ _ _ _ _ _
\n" ); document.write( " $\"x%2By%2Bz=9\"$
\n" ); document.write( " $\"1-2%2Bz=9\"$
\n" ); document.write( " $\"-1%2Bz=9\"$
\n" ); document.write( " $\"z=10\"$ \r
\n" ); document.write( "\n" ); document.write( "The solution set is [1,-2,10]\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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