document.write( "Question 243537: The Village Inn offers two special packages. For two nights and three meals the cost is $158. For two nights and five meals the cost is $181. Write and solve a system of linear equations to find the costs per night and per meal. \n" ); document.write( "
Algebra.Com's Answer #178457 by checkley77(12844)\"\" \"About 
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2n+3m=158
\n" ); document.write( "-(2n+5m=181) subtract.
\n" ); document.write( "-------------------
\n" ); document.write( "-2m=-23
\n" ); document.write( "m=-23/-2
\n" ); document.write( "m=$11.50 cost of a meal.
\n" ); document.write( "2n+3*11.50=158
\n" ); document.write( "2n+34.50=158
\n" ); document.write( "2n=158-34.50
\n" ); document.write( "2n=123.50
\n" ); document.write( "n=123.50/2
\n" ); document.write( "n=$61.75 cost of a nights lodging.
\n" ); document.write( "Proof:
\n" ); document.write( "2*61.75+5*11.50=181
\n" ); document.write( "123.50+57.50=181
\n" ); document.write( "181=181\r
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