document.write( "Question 1028568: one month Rita rented 3 movies and 2 video games for a total of $24. The next month she rented 8 movies and 4 videos games for a total of $57. Find the rental cost for each movie and video game. \n" ); document.write( "
Algebra.Com's Answer #643667 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Make movies = x \n" ); document.write( "Video games = y \n" ); document.write( "3x + 2y = 24.......(1) \n" ); document.write( "8x + 4y = 57.......(2) \n" ); document.write( "Multiply Eq(1) by 2 \n" ); document.write( "6x + 4y = 48.......(1) \n" ); document.write( "8x + 4y = 57.......(2) \n" ); document.write( "Subtract Eq(1) from Eq(2) \n" ); document.write( "2x = 9 \n" ); document.write( "x = 4.5 \n" ); document.write( "Substitute x = 4.5 into \n" ); document.write( "Eq(2) \n" ); document.write( "8x + 4y = 57.......(2) \n" ); document.write( "8(4.5) + 4y = 57 \n" ); document.write( "36 + 4y = 57 \n" ); document.write( "4y = 57 - 36 \n" ); document.write( "4y = 21 \n" ); document.write( "y = 5.25 \n" ); document.write( "Movies cost $4.50 each \n" ); document.write( "Video Games = $5.25 each \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |