document.write( "Question 866295: a woman cycles for x hours at 12km/h and y hours at 18km/h. altogether she cycles 78km in 5 hours. find x and y? \n" ); document.write( "
Algebra.Com's Answer #522166 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Total time\r \n" ); document.write( "\n" ); document.write( "x+y=5\r \n" ); document.write( "\n" ); document.write( "Total distance\r \n" ); document.write( "\n" ); document.write( "12x+18y=78\r \n" ); document.write( "\n" ); document.write( "1.00 x + 1.00 y = 5.00 .............1 \n" ); document.write( "Total value \n" ); document.write( "12.00 x + 18.00 y = 78.00 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -18.00 \n" ); document.write( "Multiply (2) by 1.00 \n" ); document.write( "-18.00 x -18.00 y = -90.00 \n" ); document.write( "12.00 x + 18.00 y = 78.00 \n" ); document.write( "Add the two equations \n" ); document.write( "-6.00 x = -12.00 \n" ); document.write( "/ -6.00 \n" ); document.write( "x = 2.00 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1.00 x + 1.00 y = 5.00 \n" ); document.write( "2.00 + y = 5.00 \n" ); document.write( " y = 5.00 -2.00 \n" ); document.write( " y = 3.00 \n" ); document.write( " y = 3.00 \n" ); document.write( "x= 2.00 \n" ); document.write( "y= 3.00 \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |