document.write( "Question 1153446: One month Deandre rented 5 movies and 3 video games for a total of $30. The next month he rented 2 movies and 6 video games for a total of $42. Find the rental cost for each movie and each video game. \n" ); document.write( "
Algebra.Com's Answer #775667 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+x+\" = the cost of a movie
\n" ); document.write( "Let \"+y+\" = the cost of a video game
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "(1) \"+5x+%2B+3y+=+30+\"
\n" ); document.write( "(2) \"+2x+%2B+6y+=+42+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+2+\" and
\n" ); document.write( "subtract (2) from (1)
\n" ); document.write( "(1) \"+10x+%2B+6y+=+60+\"
\n" ); document.write( "(2) \"+-2x+-+6y+=+-42+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "\"+8x+=+18+\"
\n" ); document.write( "\"+x+=+2.25+\"
\n" ); document.write( "Plug this result back into either equation
\n" ); document.write( "(1) \"+5x+%2B+3y+=+30+\"
\n" ); document.write( "(1) \"+5%2A2.25+%2B+3y+=+30+\"
\n" ); document.write( "(1) \"+11.25+%2B+3y+=+30+\"
\n" ); document.write( "(1) \"+3y+=+18.75+\"
\n" ); document.write( "(1) \"+y+=+6.25+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "$2.25 = the cost of a movie
\n" ); document.write( "$6.25 = the cost of a video game
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "check answers:
\n" ); document.write( "(1) \"+5x+%2B+3y+=+30+\"
\n" ); document.write( "(1) \"+5%2A2.25+%2B+3%2A6.25+=+30+\"
\n" ); document.write( "(1) \"+11.25+%2B+18.75+=+30+\"
\n" ); document.write( "(1) \"+30+=+30+\"
\n" ); document.write( "OK
\n" ); document.write( "You can check other equation
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