document.write( "Question 1161109: one river is 2854 km longer than a second river. the sum of the length of these rivers is 11,302 km what is the length of each river \n" ); document.write( "
Algebra.Com's Answer #784577 by ikleyn(52794)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "If you just know what is the systems of equations, then you can write, based on the condition\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x + y = 11302 (1)\r\n" ); document.write( "\r\n" ); document.write( " x - y = 2854 (2)\r\n" ); document.write( "\r\n" ); document.write( "----------------------------------\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now add the equations, and you will get\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 2x = 11302 + 2854 = 14156; hence, x = 14156/2 = 7078.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The longer river length is 7078 km; The other river is 7078 - 2854 = 4224 km.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you don't know what is the system of equations, you may solve the problem by different way.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Longer river length + other river length = 11302\r\n" ); document.write( "\r\n" ); document.write( " x + (x - 2854) = 11302\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 2x = 11302 + 2854 = 14156\r\n" ); document.write( "\r\n" ); document.write( " x = 14156/2 = 7078 km\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "obtaining the same answer.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved by two ways, to provide you the best knowledge.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Regarding the method of solution with system of equation, know that this system is SIMPLEST of this kind.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To gain an experience solving such systems (and such problems), see the lesson\r \n" ); document.write( "\n" ); document.write( " - Word problems that lead to a simple system of two equations in two unknowns \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |