document.write( "Question 953251: at a concession stand, 7 hotdogs and 2 hamburgers cost a total of $14.50; two hot dogs and 7 hamburgers cost a total of $17.00. find the cost of one hot dog and one hamburger \n" ); document.write( "
Algebra.Com's Answer #582102 by macston(5194)![]() ![]() You can put this solution on YOUR website! x=cost of hamburger; y=cost of hot dog \n" ); document.write( "2x+7y=$14.50 Multiply this equation by 7. \n" ); document.write( "14x+49y=$101.50 \n" ); document.write( "7x+2y=$17.00 Multiply this equation by 2. \n" ); document.write( "14x+4y=$34.00 Subtract this from first result. \n" ); document.write( "45y=$67.50 Divide each side by 45. \n" ); document.write( "y=$1.50 ANSWER 1: hot dogs cost $1.50. \n" ); document.write( "7x+2y=$17.00 Plug in y \n" ); document.write( "7x+2($1.50)=$17.00 \n" ); document.write( "7x+$3.00=$17.00 \n" ); document.write( "7x=$14.00 \n" ); document.write( "x=$2.00 ANSWER 2: Hamburgers cost $2.00. \n" ); document.write( "CHECK: \n" ); document.write( "2x+7y=$14.50 \n" ); document.write( "2($2.00)+7($1.50)=$14.50 \n" ); document.write( "$4.00+$10.50=$14.50 \n" ); document.write( "$14.50=$14.50 \n" ); document.write( " \n" ); document.write( " |