document.write( "Question 1132110: 2/x+5/y=5/6; x/2+y/5=5 \n" ); document.write( "
Algebra.Com's Answer #749004 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\"2%2Fx%2B5%2Fy=5%2F6+\"........1)
\n" ); document.write( "\"x%2F2%2By%2F5=5+\"........2)
\n" ); document.write( "----------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "\"2%2Fx%2B5%2Fy=5%2F6+\"........1).....both sides multiply by \"6xy\"\r
\n" ); document.write( "\n" ); document.write( "\"%286xy%2A2%29%2Fx%2B%286xy%2A5%29%2Fy=%286xy%2A5%29%2F6+\"\r
\n" ); document.write( "\n" ); document.write( "\"12y%2B30x=5xy+\"........solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"12y-5xy=-30x+\"\r
\n" ); document.write( "\n" ); document.write( "\"%2812-5x%29y=-30x+\"\r
\n" ); document.write( "\n" ); document.write( "\"y=-30x%2F%2812-5x%29+\"........1a)\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F2%2By%2F5=5+\"........2)......both sides multiply by \"10\"\r
\n" ); document.write( "\n" ); document.write( "\"10x%2F2%2B10y%2F5=10%2A5+\"\r
\n" ); document.write( "\n" ); document.write( "\"5x%2B2y=50+\"........solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"y=50%2F2-5x%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"y=25-%285%2F2+%29x\".....2a)\r
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\n" ); document.write( "\n" ); document.write( "from 1a) and 2a) we have\r
\n" ); document.write( "\n" ); document.write( "\"-30x%2F%2812-5x%29+=25-%285%2F2+%29x\".......solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"5x%2F2+-30x%2F%2812-5x%29+=25\"\r
\n" ); document.write( "\n" ); document.write( "\"%285x%2812-5x%29%29%2F2%2812-5x%29+-%282%2A30x%29%2F2%2812-5x%29+=25\"\r
\n" ); document.write( "\n" ); document.write( "\"%2860x-25x%5E2+-60x%29%2F2%2812-5x%29+=25\"\r
\n" ); document.write( "\n" ); document.write( "\"-25x%5E2+=25%2A2%2812-5x%29\"..........simplify\r
\n" ); document.write( "\n" ); document.write( "\"-x%5E2+=2%2812-5x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"-x%5E2+=24-10x\"\r
\n" ); document.write( "\n" ); document.write( "\"0+=x%5E2-10x%2B24\"....factor\r
\n" ); document.write( "\n" ); document.write( "\"%28x+-+4%29+%28x+-+6%29=0\"
\n" ); document.write( "=> \"x=4\" or \"x=6\"\r
\n" ); document.write( "\n" ); document.write( "go to \"y=25-%285%2F2+%29x\".....2a), substitute \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"y=25-%285%2F2+%294\"
\n" ); document.write( "\"y=25-5%2A2+\"
\n" ); document.write( "\"y=25-10+\"
\n" ); document.write( "\"y=15+\"\r
\n" ); document.write( "\n" ); document.write( "\"y=25-%285%2F2+%296\"
\n" ); document.write( "\"y=25-5%2A3+\"
\n" ); document.write( "\"y=25-15+\"
\n" ); document.write( "\"y=10+\"\r
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\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"x=4\",\"y=15+\"
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\n" ); document.write( "or
\n" ); document.write( "\"x=6\",\"y=10+\"\r
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