document.write( "Question 805550: 2 black and 3 read pen bought for Rs. 23 then 3 black and 2 read pen bought for Rs. 16 how much paid for 1 black pen? \n" ); document.write( "
Algebra.Com's Answer #485362 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! 1) 2b +3r = 23 \n" ); document.write( "2) 3b +2r = 16 \n" ); document.write( "solve second equation for r \n" ); document.write( "2r = 16 -3b \n" ); document.write( "r = 8 -3b/2 \n" ); document.write( "substitute for r in first equation \n" ); document.write( "2b +3*(8 -3b/2) = 23 \n" ); document.write( "2b +24 -9b/2 = 23 \n" ); document.write( "4b/2 -9b/2 = -1 \n" ); document.write( "-5b/2 = -1 \n" ); document.write( "-5b = -2 \n" ); document.write( "b = 2/5 \n" ); document.write( "b = .40 rs \n" ); document.write( "now check answer \n" ); document.write( "3*(.40) +2r = 16 \n" ); document.write( "2r = 16 - 1.20 \n" ); document.write( "r = 7.4 \n" ); document.write( "substitute in first equation \n" ); document.write( "2*(.40) +3*(7.40) = 23 \n" ); document.write( ".80 + 22.20 \n" ); document.write( "answer checks\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |