document.write( "Question 1132110: 2/x+5/y=5/6; x/2+y/5=5 \n" ); document.write( "

Algebra.Com's Answer #749012 by MathTherapy(10552) $\"\"$ $\"About$

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2/x+5/y=5/6; x/2+y/5=5
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document.write( "12y + 30x = 5xy ------ Multiplying by LCD, 6xy ------ eq (i)\r\n" );
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document.write( "5x + 2y = 50 --------- Multiplying by LCD, 10\r\n" );
document.write( "5x = 50 - 2y --------- eq (ii)\r\n" );
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document.write( "12y + 30x = 5xy =====> 12y + 6(5x) = y(5x)\r\n" );
document.write( "12y + 6(50 - 2y) = y(50 - 2y) ------- Substituting 50 - 2y for 5x in eq (i)\r\n" );
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document.write( "(y - 15)(y - 10) = 0\r\n" );
document.write( "y = 15             OR           y = 10\r\n" );
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document.write( "5x = 50 - 2(15) ------- Substituting 15 for y in eq (ii)\r\n" );
document.write( "5x = 20\r\n" );
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document.write( "5x = 50 - 2(10) ------- Substituting 10 for y in eq (ii)\r\n" );
document.write( "5x = 30\r\n" );
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