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)\"\" \"About 
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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 :-)
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