document.write( "Question 734854: At a concession stand, five hotdogs and two hamburgers cost $10.25; two hotdogs and five hamburgers cost $12.50. How much does one hotdog cost?\r
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Algebra.Com's Answer #449159 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
let hotdogs be \"x\" and hamburgers \"y\"\r
\n" ); document.write( "\n" ); document.write( "if five hotdogs and two hamburgers cost $\"10.25\", then\r
\n" ); document.write( "\n" ); document.write( "\"5x%2B2y=10.25\".....eq.1\r
\n" ); document.write( "\n" ); document.write( "if two hotdogs and five hamburgers cost $\"12.50\",then\r
\n" ); document.write( "\n" ); document.write( "\"2x%2B5y=12.50\".....eq.2\r
\n" ); document.write( "\n" ); document.write( "now solve this system:\r
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\n" ); document.write( "\n" ); document.write( "\"5x%2B2y=10.25\".....eq.1
\n" ); document.write( "\"2x%2B5y=12.50\".....eq.2
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\n" ); document.write( "\n" ); document.write( "\"5x%2B2y=10.25\".....eq.1....solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"5x=10.25-2y\"\r
\n" ); document.write( "\n" ); document.write( "\"x=10.25%2F5-2y%2F5\"\r
\n" ); document.write( "\n" ); document.write( "\"x=2.05-0.4y\"......plug it in eq.2\r
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\n" ); document.write( "\n" ); document.write( "\"2%282.05-0.4y%29%2B5y=12.50\".....eq.2..solve for \"y\"\r
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\n" ); document.write( "\n" ); document.write( "\"4.1-0.8y%2B5y=12.50\"\r
\n" ); document.write( "\n" ); document.write( "\"-0.8y%2B5y=12.50-4.1\"\r
\n" ); document.write( "\n" ); document.write( "\"4.2y=8.4\"\r
\n" ); document.write( "\n" ); document.write( "\"y=8.4%2F4.2\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28y=2%29\"........hamburger cost\r
\n" ); document.write( "\n" ); document.write( "now find \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=2.05-0.4%2A2\"\r
\n" ); document.write( "\n" ); document.write( "\"x=2.05-0.8\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=1.25%29\".....hotdog cost\r
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\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"5x%2B2y=10.25\".....eq.1
\n" ); document.write( "\"5%2A1.25%2B2%2A2=10.25\"
\n" ); document.write( "\"6.25%2B4=10.25\"
\n" ); document.write( "\"10.25=10.25\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2B5y=12.50\".....eq.2
\n" ); document.write( "\"2%2A1.25%2B5%2A2=12.50\"
\n" ); document.write( "\"2.50%2B10=12.50\"
\n" ); document.write( "\"12.50=12.50\"\r
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