document.write( "Question 288379: The equations 5x+2y=48 and 3x+2y=32 represent the money collected from school concert ticket sales during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket? \n" ); document.write( "
Algebra.Com's Answer #209039 by nerdybill(7384) You can put this solution on YOUR website! The equations 5x+2y=48 and 3x+2y=32 represent the money collected from school concert ticket sales during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket? \n" ); document.write( ". \n" ); document.write( "You basically have two unknowns and two equations (system of equations). \n" ); document.write( "You can use the \"addition method\" to solve. \n" ); document.write( "5x+2y=48 \n" ); document.write( "3x+2y=32 \n" ); document.write( ". \n" ); document.write( "Multiply both sides of the second equation by -1 \n" ); document.write( " 5x+2y = 48 \n" ); document.write( "-3x-2y =-32 \n" ); document.write( ". \n" ); document.write( "Now, add the two equations together: \n" ); document.write( " 5x+2y = 48 \n" ); document.write( "-3x-2y =-32 \n" ); document.write( "-------------- \n" ); document.write( "2x = 16 \n" ); document.write( "dividing both sides by 2: \n" ); document.write( "x = $8 (adult ticket cost)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |