document.write( "Question 765300: at a concession stand, five hot dogs and four hamburgers cost $13.00; four hot dogs and five hamburgers cost $14.00. Find the cost of one hot dog and the cost of one hamburger \n" ); document.write( "
Algebra.Com's Answer #466074 by lwsshak3(11628)\"\" \"About 
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at a concession stand, five hot dogs and four hamburgers cost $13.00; four hot dogs and five hamburgers cost $14.00. Find the cost of one hot dog and the cost of one hamburger.
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\n" ); document.write( "let x=cost of one hot dog
\n" ); document.write( "let y=cost of one hamburger
\n" ); document.write( "..
\n" ); document.write( "5x+4y=13
\n" ); document.write( "4x+5y=14
\n" ); document.write( "..
\n" ); document.write( "20x+16y=52
\n" ); document.write( "20x+25y=70
\n" ); document.write( "subtract
\n" ); document.write( "-9y=-18
\n" ); document.write( "y=2
\n" ); document.write( "4x=14-5y=14-10=4
\n" ); document.write( "4x=4
\n" ); document.write( "x=1
\n" ); document.write( "cost of one hot dog=$1.00
\n" ); document.write( "cost of one hamburger=$2.00
\n" ); document.write( "
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