document.write( "Question 896474: 2x-3y=2;x-y/2=1/3
\n" ); document.write( "solve by cramers rule \n" ); document.write( "

Algebra.Com's Answer #543742 by richwmiller(17219) $\"\"$ $\"About$

You can put this solution on YOUR website!
Your matrix\r
\n" ); document.write( "\n" ); document.write( "№ x y b
\n" ); document.write( "1 2 -3 2
\n" ); document.write( "2 1 -1/2 1/3
\n" ); document.write( "Write down the main matrix and find its determinant\r
\n" ); document.write( "\n" ); document.write( "№ x y
\n" ); document.write( "1 2 -3
\n" ); document.write( "2 1 -1/2
\n" ); document.write( "D = 2
\n" ); document.write( "
\n" ); document.write( "Replace the 1st column of the main matrix with the solution vector and find its determinant\r
\n" ); document.write( "\n" ); document.write( "№ x y
\n" ); document.write( "1 2 -3
\n" ); document.write( "2 1/3 -1/2
\n" ); document.write( "D1 = 0\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "Replace the 2nd column of the main matrix with the solution vector and find its determinant\r
\n" ); document.write( "\n" ); document.write( "№ x y
\n" ); document.write( "1 2 2
\n" ); document.write( "2 1 1/3
\n" ); document.write( "D2 = -4/3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = D1 / D = 0 / 2 = 0
\n" ); document.write( "y = D2 / D = (-4/3) / 2 = -2/3\r
\n" ); document.write( "\n" ); document.write( "Solution set:\r
\n" ); document.write( "\n" ); document.write( "x= 0
\n" ); document.write( "y = -2/3 \n" ); document.write( "

\n" );