document.write( "Question 1122615: . x + 3y − z = a
\n" ); document.write( "x + y + 2z = b
\n" ); document.write( "2y − 3z = c
\n" ); document.write( "solve the following systems, where a, b,
\n" ); document.write( "and c are constants. \n" ); document.write( "

Algebra.Com's Answer #738749 by josgarithmetic(39618) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( ". x + 3y − z = a
\n" ); document.write( "x + y + 2z = b
\n" ); document.write( "2y − 3z = c
\n" ); document.write( "-------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "From first two equations, $\"a-3y%2Bz=b-y%2B2z\"$
\n" ); document.write( " $\"-3y%2Bz%2By-2z%2Ba=b\"$
\n" ); document.write( " $\"-2y-z=b-a\"$
\n" ); document.write( " $\"2y%2Bz=a-b\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Revision to simpler system:
\n" ); document.write( " $\"system%282y%2Bz=a-b%2C2y-3z=c%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"2y%2Bz-2y-%28-3z%29=a-b-c\"$
\n" ); document.write( " $\"4z=a-b-c\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28z=%28a-b-c%29%2F4%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Returning to $\"system%282y%2Bz=a-b%2C2y-3z=c%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"system%286y%2B3z=3a-3b%2C2y-3z=c%29\"$
\n" ); document.write( "Add corresponding members,
\n" ); document.write( " $\"8y=3a-3b%2Bc\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"highlight%28y=%283a-3b%2Bc%29%2F8%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "from the very first equation, $\"x=a-3y%2Bz\"$
\n" ); document.write( "substitute for y and z, simplify from that. \n" ); document.write( "

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