document.write( "Question 722809: Your mom and dad took turns driving on a 580 mile road trip that took 10 hours to complete. Your mom drove on average 55mph and your dad drove on average 60mph. How long did each person drive?\r
\n" ); document.write( "\n" ); document.write( "I'm having trouble writing the equations. 55x-y=580 & 60y-x=580 were the equations I came up with but they don't seem quite right.
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Algebra.Com's Answer #442898 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
\"x\"= hours mom drove ---> \"55x\"= miles mom drove
\n" ); document.write( "\"y\"= hours dad drove ---> \"60y\"= miles dad drove
\n" ); document.write( "adding up:
\n" ); document.write( "\"x%2By=10\" and \"55x%2B60y=580\"
\n" ); document.write( "which make up the system
\n" ); document.write( "\"system%28x%2By=10%2C55x%2B60y=580%29\"
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\n" ); document.write( "To solve by elimination, we could multiply the first equation times 55 to get
\n" ); document.write( "\"55x%2B55y=550\" and subtract it from the other equation to get
\n" ); document.write( "\"5y=30\" --> \"highlight%28y=6%29\"
\n" ); document.write( "which can then be plugged into \"x%2By=10\" to get
\n" ); document.write( "\"x%2B6=10\" --> \"highlight%28x=4%29\"
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