document.write( "Question 987435: 2 tables and 3 chairs together cost $2140, but 3 tables and 2 chairs together cost $2760. find the individual cost of the table and the chair. \n" ); document.write( "
Algebra.Com's Answer #608208 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "T=cost of table; C=cost of chair \n" ); document.write( ". \n" ); document.write( "2T+3C=$2140 Multiply by 3. \n" ); document.write( "6T+9C=$6420 \n" ); document.write( ". \n" ); document.write( "3T+2C=$2760 Multiply by 2. \n" ); document.write( "6T+4C=$5520 Subtract this from second equation above. \n" ); document.write( ". \n" ); document.write( "5C=$900 \n" ); document.write( "C=$180 \n" ); document.write( "ANSWER 1:One chair costs $180. \n" ); document.write( ". \n" ); document.write( "2T+3C=$2140 \n" ); document.write( "2T+3($180)=$2140 \n" ); document.write( "2T+$540=$2140 \n" ); document.write( "2T=$1600 \n" ); document.write( "T=$800 \n" ); document.write( "ANSWER 2: One table costs $800. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "(Use second equation) \n" ); document.write( "3T+2C=$2760 \n" ); document.write( "3($800)+2($180)=$2760 \n" ); document.write( "$2400+$360=$2760 \n" ); document.write( "$2760=$2760\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |