document.write( "Question 463611: 1/x+1/y=8/15
\n" ); document.write( "1/x-1/y=2/15
\n" ); document.write( "solve the system
\n" ); document.write( "I keep getting x=1/3 and y=1/30 \n" ); document.write( "
Algebra.Com's Answer #317596 by graphmatics(170)\"\" \"About 
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1/x+1/y=8/15
\n" ); document.write( "1/x-1/y=2/15\r
\n" ); document.write( "\n" ); document.write( "We will first solve the system for x. First we multiply the first equation by y and get
\n" ); document.write( "1/x = 8/15 -1/y
\n" ); document.write( "1/x = (8/15)(y/y) -(1/y)(15/15)
\n" ); document.write( "1/x = (8y/15y) - (15/15y)
\n" ); document.write( "1/x = (8y-15)/(15y)\r
\n" ); document.write( "\n" ); document.write( "Now substitute the value of 1/x into equation 2 and get\r
\n" ); document.write( "\n" ); document.write( "(8y-15)/(15y) - 1/y = 2/15
\n" ); document.write( "Multiply this equation by y and get
\n" ); document.write( "y(8y-15)/15y - y(1/y) = y(2/15)
\n" ); document.write( "(8y-15)/15 - 1 = 2y/15
\n" ); document.write( "8y/15 - 15/15 -1 - 2y/15 =0
\n" ); document.write( "8y/15 - 2y/15 = 2
\n" ); document.write( "6y/15 = 2
\n" ); document.write( "y = (15/6)2
\n" ); document.write( "y = 15/3 = 5
\n" ); document.write( "Substitute y = 5 into the first equation and solve the first equation for x.\r
\n" ); document.write( "\n" ); document.write( "1/x = 8/15 - 1/y
\n" ); document.write( "1/x = 8/15 - 1/5
\n" ); document.write( "1/x = 8/15 - 3/15
\n" ); document.write( "1/x = 5/15
\n" ); document.write( "1/x = 1/3
\n" ); document.write( "x = 3
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