document.write( "Question 39449: Use Cramer's Rule to solve this equation.\r
\n" );
document.write( "\n" );
document.write( "2x-5y=18
\n" );
document.write( "-x+3y=10 \n" );
document.write( "
Algebra.Com's Answer #24882 by longjonsilver(2297)![]() ![]() You can put this solution on YOUR website! M = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Its determinant, D is: \n" ); document.write( "D = (2)(3)-(-1)(-5) \n" ); document.write( "D = 6-5 \n" ); document.write( "D = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now repeat on \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dx = (18)(3)-(10)(-5) \n" ); document.write( "Dx = 54+50 \n" ); document.write( "Dx = 104\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and also on \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dy = (2)(10)-(-1)(18) \n" ); document.write( "Dy = 20+18 \n" ); document.write( "Dy = 38\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, x = Dx/D \n" ); document.write( "--> x = 104/1 \n" ); document.write( "--> x = 104\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, y = Dy/D \n" ); document.write( "--> y = 38/1 \n" ); document.write( "--> y = 38\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "CHECK: \n" ); document.write( "2x-5y \n" ); document.write( "2(104)-5(38) \n" ); document.write( "208-190 \n" ); document.write( "18... CORRECT\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and -x+3y \n" ); document.write( "-(104)+3(38) \n" ); document.write( "-104+114 \n" ); document.write( "10... CORRECT\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "jon. \n" ); document.write( " |