document.write( "Question 659744: The distance between Memphis and Atlanta is 782mi less than the distance between Minneapolis and Houston. Together, the two distances total 1570mi. How far is it between Memphis and Atlanta? How far is it between Minneapolis and Houston?\r
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Algebra.Com's Answer #410899 by ReadingBoosters(3246)![]() ![]() ![]() You can put this solution on YOUR website! x = Memphis to Atlanta \n" ); document.write( "y = Minneapolis to Houston\r \n" ); document.write( "\n" ); document.write( "x = y - 782 \n" ); document.write( "x + y = 1570\r \n" ); document.write( "\n" ); document.write( "Substitute the first equation into the second equation, \n" ); document.write( "y - 782 + y = 1570 \n" ); document.write( "Combine like terms \n" ); document.write( "2y - 782 = 1570 \n" ); document.write( "2y - 782 + 782 = 1570 + 782 \n" ); document.write( "2y = 2352 \n" ); document.write( "2y \n" ); document.write( "2y/2 = 2352/2 \n" ); document.write( "y = 1176\r \n" ); document.write( "\n" ); document.write( "Plug y into the first equation and solve for x \n" ); document.write( "x = 1176 - 782 = 394\r \n" ); document.write( "\n" ); document.write( "Memphis and Atlanta 394 miles \n" ); document.write( "Minneapolis and Houston 1176 miles \n" ); document.write( " |