document.write( "Question 763163: 5 pencils and 7 pens together cost rs.195. While 7 pencils and 5 pens together cost rs.153. Find the cost of each pencil and the pen. \n" ); document.write( "
Algebra.Com's Answer #464595 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Pencils = x \n" ); document.write( "Pens = y \n" ); document.write( "5x + 7y = 195...1 \n" ); document.write( "7x + 5y = 153...2 \n" ); document.write( "Multiply (1) by 5 \n" ); document.write( "Multiply (2) by 7 \n" ); document.write( "25x + 35y = 975...3 \n" ); document.write( "49x + 35y = 1071..4 \n" ); document.write( "subtract (3) from (4) \n" ); document.write( "24x = 96 \n" ); document.write( " x = 4 \n" ); document.write( "Substitute x = 4 \n" ); document.write( "into (1) \n" ); document.write( "5x + 7y = 195 \n" ); document.write( "20 + 7y = 195 \n" ); document.write( " 7y = 195 - 20 \n" ); document.write( " 7y = 175 \n" ); document.write( " y = 25 \n" ); document.write( "So, Pencils cost rs 4 \n" ); document.write( " Pens cost rs 25 \n" ); document.write( "Hope this helps. \n" ); document.write( ":-) \n" ); document.write( " |