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)![]() ![]() ![]() You can put this solution on YOUR website! 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 - \n" ); document.write( "--------------- \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 \n" ); document.write( " \n" ); document.write( " |