document.write( "Question 970028: 40/x+y + 2/x-y =5,25/x+y - 3/x-y=1,where x+y is not equal to 0 and x-y is not equal to 0 \n" ); document.write( "
Algebra.Com's Answer #592781 by Fombitz(32388)\"\" \"About 
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Use a substitution,
\n" ); document.write( "\"A=1%2F%28x%2By%29\"
\n" ); document.write( "\"B=1%2F%28x-y%29\"
\n" ); document.write( "So then,
\n" ); document.write( "1.\"40A%2B2B=5\"
\n" ); document.write( "2.\"25A-3B=1\"
\n" ); document.write( "Multiply eq. 1 by 3 and eq. 2 by 2 and add them,
\n" ); document.write( "\"120A%2B6B%2B50A-6B=15%2B2\"
\n" ); document.write( "\"170A=17\"
\n" ); document.write( "\"A=1%2F10\"
\n" ); document.write( "So then,
\n" ); document.write( "\"40%2F10%2B2B=5\"
\n" ); document.write( "\"4%2B2B=5\"
\n" ); document.write( "\"2B=1\"
\n" ); document.write( "\"B=1%2F2\"
\n" ); document.write( "Substituting back,
\n" ); document.write( "\"1%2F%28x%2By%29=1%2F10\"
\n" ); document.write( "3.\"x%2By=10\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"1%2F%28x-y%29=1%2F2\"
\n" ); document.write( "4.\"x-y=2\"
\n" ); document.write( "Add eq. 3 to eq. 4,
\n" ); document.write( "\"x%2By%2Bx-y=10%2B2\"
\n" ); document.write( "\"2x=12\"
\n" ); document.write( "\"x=6\"
\n" ); document.write( "Then,
\n" ); document.write( "\"6%2By=10\"
\n" ); document.write( "\"y=4\"\r
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