document.write( "Question 1061569: at a concession stand, five hot dogs and two hamburgers cost $8.50, two hot dogs and five hamburger cost $10.75. find the cost of one hot dog and the cost of one hamburger \n" ); document.write( "
Algebra.Com's Answer #677119 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Make hotdogs = x \n" ); document.write( "Hamburgers = y \n" ); document.write( "5x + 2y = 8.50......Eq(1) \n" ); document.write( "2x + 5y = 10.75.....Eq(2) \n" ); document.write( "Multiply Eq(1) by 2 and Eq(2) by 5 \n" ); document.write( "10x + 4y = 17.......Eq(1) \n" ); document.write( "10x + 25y = 53.75.....Eq(2) \n" ); document.write( "Subtract Eq(1) from Eq(2) \n" ); document.write( "....21y = 36.75 \n" ); document.write( "......y = 1.75 \n" ); document.write( "Substitute y = 1.75 in Eq(2) \n" ); document.write( "2x + 5y = 10.75.....Eq(2) \n" ); document.write( "2x + 5(1.75) = 10.75 \n" ); document.write( "2x + 8.75 = 10.75 \n" ); document.write( "2x = 10.75 - 8.75 \n" ); document.write( "2x = 2 \n" ); document.write( "x = 1 \n" ); document.write( "Hotdog costs $1 \n" ); document.write( "Hamburger costs $1.75 \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |