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
\n" ); document.write( "\n" ); document.write( "5/x-4/y=-180
\n" ); document.write( "4/x-5/y=-180
\n" ); document.write( "

Algebra.Com's Answer #343656 by stanbon(75887)\"\" \"About 
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
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\n" ); document.write( "Cheers,
\n" ); document.write( "stan H.
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