document.write( "Question 1197422: x + 2y − z = −5
\n" ); document.write( "y − 3z = −13
\n" ); document.write( "x − 3y + 2z = 12
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #830680 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
-----------------
\n" ); document.write( "x + 2y − z = −5
\n" ); document.write( "y − 3z = −13
\n" ); document.write( "x − 3y + 2z = 12
\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "What skill or method are you required to use?
\n" ); document.write( "You could use E1 and E3 to find an equation in variables y and z, and then you would have a system in just two variables, y and z.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"system%28x=-2y%2Bz-5%2Cx=3y-2z%2B12%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-2y%2Bz-5=3y-2z%2B12\"\r
\n" ); document.write( "\n" ); document.write( "\"-5y%2B3z=17\"\r
\n" ); document.write( "\n" ); document.write( "\"5y-3z=-17\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "System in two variables is
\n" ); document.write( "\"system%28y-3z=-13%2C5y-3z=-17%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"system%28y-3z=-13%2C-5y%2B3z=17%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Add corresponding members, eliminating z.
\n" ); document.write( "\"-4y=4\"
\n" ); document.write( "\"highlight%28y=-1%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Using from the simpler system OR second equation of original system, \"y-3z=-13\"
\n" ); document.write( "\"-1-3z=-13\"
\n" ); document.write( "\"-3z=-12\"
\n" ); document.write( "\"highlight%28z=4%29\"\r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "and you can find x.
\n" ); document.write( "
\n" );