document.write( "Question 977749: 3 tables and 2 chairs cost Rs. 1900 and 2 tables and 4 chairs cost Rs. 1800. Find the cost of table and a chair. \n" ); document.write( "
Algebra.Com's Answer #599285 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Make tables = x \n" ); document.write( "and chairs = y \n" ); document.write( "Make two equations: \n" ); document.write( "3x + 2y = 1900.....(1) \n" ); document.write( "2x + 4y = 1800.....(2) \n" ); document.write( "Multiply equation (1) by 2 \n" ); document.write( "6x + 4y = 3800.....(1) \n" ); document.write( "2x + 4y = 1800 \n" ); document.write( "Subtract Equation (2) from (1) \n" ); document.write( "4x = 2000 \n" ); document.write( "x = 500 \n" ); document.write( "Substitute x = 500 into \n" ); document.write( "Equation (2) \n" ); document.write( "2x + 4y = 1800 \n" ); document.write( "2(500) + 4y = 1800 \n" ); document.write( "1000 + 4y = 1800 \n" ); document.write( "4y = 1800 - 1000 \n" ); document.write( "4y = 800 \n" ); document.write( "y = 200 \n" ); document.write( "Therefore: \n" ); document.write( "A Table costs Rs 500 \n" ); document.write( "A chair costs Rs 200 \n" ); document.write( "Hope this helps:-) \n" ); document.write( " |