document.write( "Question 1160615: One month Michael rented
\n" ); document.write( "9
\n" ); document.write( " movies and
\n" ); document.write( "7
\n" ); document.write( " video games for a total of
\n" ); document.write( "$56
\n" ); document.write( ". The next month he rented
\n" ); document.write( "3
\n" ); document.write( " movies and
\n" ); document.write( "5
\n" ); document.write( " video games for a total of
\n" ); document.write( "$34
\n" ); document.write( ". Find the rental cost for each movie and each video game.
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Algebra.Com's Answer #783970 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "let movies be \"m\" and video games \"g\"\r
\n" ); document.write( "\n" ); document.write( "if one month Michael rented \"9\" movies and \"7+\"video games for a total of $\"56\", we have\r
\n" ); document.write( "\n" ); document.write( "\"9m%2B7g=56\".........solve for \"m\"\r
\n" ); document.write( "\n" ); document.write( "\"9m=56-7g\"\r
\n" ); document.write( "\n" ); document.write( "\"m=56%2F9-7g%2F9\"........eq.1\r
\n" ); document.write( "\n" ); document.write( "if the next month he rented \"3\" movies and \"5\" video games for a total of $\"34\", we have\r
\n" ); document.write( "\n" ); document.write( "\"3m%2B5g=34\".........solve for \"m\"\r
\n" ); document.write( "\n" ); document.write( "\"3m=34-5g\"\r
\n" ); document.write( "\n" ); document.write( "\"m=34%2F3-5g%2F3\"........eq.2\r
\n" ); document.write( "\n" ); document.write( "from eq.1 and eq.2 we have\r
\n" ); document.write( "\n" ); document.write( "\"56%2F9-7g%2F9=34%2F3-5g%2F3\".............solve for \"g\", both sides multiply by \"9\" to get rid of fraction\r
\n" ); document.write( "\n" ); document.write( "\"56-7g=34%2A3-5g%2A3\"\r
\n" ); document.write( "\n" ); document.write( "\"56-7g=102-15g\"\r
\n" ); document.write( "\n" ); document.write( "\"15g-7g=102-56\"\r
\n" ); document.write( "\n" ); document.write( "\"8g=46\"\r
\n" ); document.write( "\n" ); document.write( "\"g=5.75\"\r
\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( "\"m=56%2F9-7g%2F9\"........eq.1, substitute \"g\"\r
\n" ); document.write( "\n" ); document.write( "\"m=56%2F9-%287%2A5.75%29%2F9\"
\n" ); document.write( "\"m=56%2F9-40.25%2F9\"
\n" ); document.write( "\"m=6.222222222222221-4.472222222222222\"
\n" ); document.write( "\"m=1.75\"\r
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\n" ); document.write( "\n" ); document.write( " the rental cost for each movie is $\"1.75\" and for each video game is $\"5.75\"\r
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