document.write( "Question 1030352: Use matrices to solve the system. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express x, y, and z in terms of the parameter c.)
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "2x − 3y + z = 0
\n" ); document.write( "3x + 2y − z = 3
\n" ); document.write( "5x − 2y + z = 1 \n" ); document.write( "

Algebra.Com's Answer #645261 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use Cramer's rule,
\n" ); document.write( " $\"A=%28matrix%283%2C3%2C%0D%0A2%2C-3%2C1%2C%0D%0A3%2C2%2C-1%2C%0D%0A5%2C-2%2C1%29%29\"$
\n" ); document.write( " $\"abs%28A%29=8\"$
\n" ); document.write( ",
\n" ); document.write( ",
\n" ); document.write( ",
\n" ); document.write( " $\"A%5Bx%5D=%28matrix%283%2C3%2C%0D%0A0%2C-3%2C1%2C%0D%0A3%2C2%2C-1%2C%0D%0A1%2C-2%2C1%29%29\"$
\n" ); document.write( " $\"abs%28A%5Bx%5D%29=4\"$
\n" ); document.write( ",
\n" ); document.write( ",
\n" ); document.write( ",
\n" ); document.write( " $\"A%5By%5D=%28matrix%283%2C3%2C%0D%0A2%2C0%2C1%2C%0D%0A3%2C3%2C-1%2C%0D%0A5%2C1%2C1%29%29\"$
\n" ); document.write( " $\"abs%28A%5By%5D%29=-4\"$
\n" ); document.write( ",
\n" ); document.write( ",
\n" ); document.write( ",
\n" ); document.write( " $\"A%5Bz%5D=%28matrix%283%2C3%2C%0D%0A2%2C-3%2C0%2C%0D%0A3%2C2%2C3%2C%0D%0A5%2C-2%2C1%29%29\"$
\n" ); document.write( " $\"abs%28A%5Bz%5D%29=-20\"$
\n" ); document.write( ",
\n" ); document.write( ",
\n" ); document.write( ",
\n" ); document.write( " $\"x=abs%28A%5Bx%5D%29%2Fabs%28A%29=4%2F8=1%2F2\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"y=abs%28A%5By%5D%29%2Fabs%28A%29=-4%2F8=-1%2F2\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"z=abs%28A%5Bz%5D%29%2Fabs%28A%29=-20%2F8=-5%2F2\"$
\n" ); document.write( ".
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );