document.write( "Question 164029: Spike averaged 45 mph driving from Rochester to Syracuse and 49 mph driving from Syracuse to Albany. If he drove a total of 237 miles in 5 hours, then how far is it from Syracuse to Albany? \n" ); document.write( "
Algebra.Com's Answer #120858 by alicealc(293)\"\" \"About 
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Let:
\n" ); document.write( "time to travel from Rochester to Syracuse = x
\n" ); document.write( "time to travel from Syracuse to Albany = y\r
\n" ); document.write( "\n" ); document.write( "the equation system will be:
\n" ); document.write( "x + y = 5
\n" ); document.write( "45x + 49y = 237\r
\n" ); document.write( "\n" ); document.write( "multiply the first equation by 45, we get:
\n" ); document.write( "45x + 45y = 225\r
\n" ); document.write( "\n" ); document.write( "use the elimination process:
\n" ); document.write( "45x + 45y = 225
\n" ); document.write( "45x + 49y = 237 -
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\n" ); document.write( " -4y = -12
\n" ); document.write( " y = 3\r
\n" ); document.write( "\n" ); document.write( "then calculate the distance from Syracuse to Albany:
\n" ); document.write( " distance = 49y = 49*3 = 147 miles
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