document.write( "Question 463770: solve the augmented matrix for a three-equation system in three unknowns x, y, z.\r
\n" ); document.write( "\n" ); document.write( "3 1 -2: 10
\n" ); document.write( "0 2 -3: 4
\n" ); document.write( "0 0 1: 4 \n" ); document.write( "

Algebra.Com's Answer #318418 by robertb(5830) $\"\"$ $\"About$

You can put this solution on YOUR website!
Proceed with Gauss-Jordan reduction:\r
\n" ); document.write( "\n" ); document.write( " $\"%28matrix%283%2C4%2C3%2C+1%2C-2%2C+10%2C0%2C++2%2C++-3%2C++4%2C0+%2C++0%2C+++1%2C++4%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "~ $\"%28matrix%283%2C4%2C3%2C+1%2C-2%2C+10%2C0%2C++2%2C++0%2C+16%2C0+%2C++0%2C+++1%2C++4%29%29\"$ , by 3R3 + R2\r
\n" ); document.write( "\n" ); document.write( "~ $\"%28matrix%283%2C4%2C3%2C+1%2C0%2C+18%2C0%2C++2%2C++0%2C+16%2C0+%2C++0%2C+++1%2C++4%29%29\"$ , by 2R3 + R1\r
\n" ); document.write( "\n" ); document.write( "~ $\"%28matrix%283%2C4%2C3%2C+1%2C0%2C+18%2C0%2C++1%2C++0%2C+8%2C0+%2C++0%2C+++1%2C++4%29%29\"$ , R2/2\r
\n" ); document.write( "\n" ); document.write( "~ $\"%28matrix%283%2C4%2C3%2C+0%2C0%2C+10%2C0%2C++1%2C++0%2C+8%2C0+%2C++0%2C+++1%2C++4%29%29\"$ , by -R2 + R1\r
\n" ); document.write( "\n" ); document.write( "~ $\"%28matrix%283%2C4%2C1%2C+0%2C0%2C+10%2F3%2C0%2C++1%2C++0%2C+8%2C0+%2C++0%2C+++1%2C++4%29%29\"$ , by R1/3\r
\n" ); document.write( "\n" ); document.write( "Therefore, x = 10/3, y = 8, and z = 4. \n" ); document.write( "

\n" );