document.write( "Question 762900: The cost of 3 books and 2 pencils is Rs. 18. The cost of 2 books and 3 pencils is Rs. 12. Find the total cost for a book and a pencil. \n" ); document.write( "
Algebra.Com's Answer #464291 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Simultaneous Equations: \n" ); document.write( "A book = x \n" ); document.write( "A pencil = y \n" ); document.write( "3x + 2y = 18...1 \n" ); document.write( "2x + 3y = 12...2 \n" ); document.write( "Multiply (1) by 3 \n" ); document.write( "and (2) by 2 \n" ); document.write( "9x + 6y = 54...3 \n" ); document.write( "4x + 6y = 24...4 \n" ); document.write( "Subtract (4) from (3) \n" ); document.write( "5x = 30 \n" ); document.write( " x = 6 \n" ); document.write( "Substitute x = 6 into (1) \n" ); document.write( "3x + 2y = 18...1 \n" ); document.write( "18 + 2y = 18 \n" ); document.write( " 2y = 18 -18 \n" ); document.write( " y = 0 \n" ); document.write( "Book costs Rs6 Pencil costs nothing. \n" ); document.write( "Hope this helps. \n" ); document.write( ":-) \n" ); document.write( " |