document.write( "Question 514987: How do i solve the system for x and y? I need to solve for 1/x and 1/y first though.\r
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document.write( "5/x-4/y=-180
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document.write( "4/x-5/y=-180 \n" );
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Algebra.Com's Answer #343656 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 5/x-4/y=-180 \n" ); document.write( "4/x-5/y=-180 \n" ); document.write( "---- \n" ); document.write( "Let 1/x = a \n" ); document.write( "Let 1/y = b \n" ); document.write( "--------------- \n" ); document.write( "5a - 4b = -180 \n" ); document.write( "4a - 5b = -180 \n" ); document.write( "----------------------- \n" ); document.write( "Multiply thru 1st by 4 \n" ); document.write( "Multiply thru 2nd by 5 \n" ); document.write( "------------------------------ \n" ); document.write( "20a - 16b = 4*-180 \n" ); document.write( "20a - 25b = 5*-180 \n" ); document.write( "---- \n" ); document.write( "Subtrace and solve for \"b\": \n" ); document.write( "9b = 180 \n" ); document.write( "b = 20 \n" ); document.write( "--- \n" ); document.write( "So 1/y = 20 and y = 1/20 \n" ); document.write( "-------------------------------- \n" ); document.write( "Solve for \"a\", then \"x\": \n" ); document.write( "4a - 5b = -180 \n" ); document.write( "4a - 5*20 = -180 \n" ); document.write( "4a -100 = -180 \n" ); document.write( "4a = -80 \n" ); document.write( "a = -20 \n" ); document.write( "--- \n" ); document.write( "So 1/x = -20 \n" ); document.write( "x = -1/20 \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "stan H. \n" ); document.write( "==================== \n" ); document.write( " \n" ); document.write( " |