document.write( "Question 4713: 4 small cheeseburgers & 3 orders of fries cost $11.45. Cost of 2 small cheeseburgers and 1 order of fries is $5.13. Set up a system of linear equations and solve to find the cost of each item. \n" ); document.write( "
Algebra.Com's Answer #2214 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Let x = number of cheeseburgers \n" ); document.write( "y = number of orders of fries\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x + 3y = 11.45 \n" ); document.write( "2x + y = 5.13\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply each side of the second equation by -3: \n" ); document.write( "4x + 3y = 11.45 \n" ); document.write( "-6x - 3y = -15.39\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-2x = -3.94\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide each side by -2, \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute into the second equation: \n" ); document.write( "2x + y = 5.13 \n" ); document.write( "2(1.97) + y = 5.13 \n" ); document.write( "3.94 + y = 5.13\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 1.94 from each side: \n" ); document.write( "3.94 -3.94 + y = 5.13 - 3.94 \n" ); document.write( "y = $1.19\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check in first equation: \n" ); document.write( "4x + 3y = 11.45 \n" ); document.write( "4(1.97) + 3(1.19) = 11.45 \n" ); document.write( "7.88 + 3.57 =$11.45\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Cheeseburger = $1.97 \n" ); document.write( "Fries = $1.19\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 at SCC \n" ); document.write( " |