document.write( "Question 769989: $\"x-y=7\"$ ; $\"2%2Fx-5%2Fy=2\"$ solution \n" ); document.write( "

Algebra.Com's Answer #469566 by Jc0110(165) $\"\"$ $\"About$

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$\"x-y=7\"$
\n" ); document.write( " $\"x=y%2B7\"$ --> Equation 1 ... Substitute $\"x=y%2B7\"$ into Equation 2
\n" ); document.write( " $\"2%2Fx-5%2Fy=2\"$
\n" ); document.write( " $\"xy%282%2Fx%29-xy%285%2Fy%29=xy%282%29\"$
\n" ); document.write( " $\"2y-5x=2xy\"$ --> Equation 2
\n" ); document.write( " $\"2y-5%28y%2B7%29=2y%28y%2B7%29\"$
\n" ); document.write( " $\"2y-5y-35=2y%5E2%2B14y\"$
\n" ); document.write( " $\"-3y-35=2y%5E2%2B14y\"$
\n" ); document.write( " $\"0=2y%5E2%2B14y%2B3y%2B35\"$
\n" ); document.write( " $\"0=2y%5E2%2B17y%2B35\"$
\n" ); document.write( " $\"2y%5E2%2B17y%2B35=0\"$
\n" ); document.write( " $\"%282y%2B7%29%28y%2B5%29=0\"$
\n" ); document.write( " $\"y=-7%2F2\"$ or $\"y=-5\"$
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
\n" ); document.write( "When $\"y=-7%2F2\"$ , --> Substitute $\"y=-7%2F2\"$ into $\"x=y%2B7\"$
\n" ); document.write( " $\"x=-7%2F2%2B7\"$
\n" ); document.write( " $\"x=7%2F2\"$
\n" ); document.write( " $\"x=3%261%2F2\"$
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
\n" ); document.write( "When $\"y=-5\"$ , --> Substitute $\"y=-5\"$ into $\"x=y%2B7\"$
\n" ); document.write( " $\"x=-5%2B7\"$
\n" ); document.write( " $\"x=2\"$
\n" ); document.write( "_____________________________________________________________________
\n" ); document.write( "Therefore,
\n" ); document.write( "when $\"x=3%261%2F2\"$ , $\"y=-7%2F2\"$ ;
\n" ); document.write( "when $\"x=2\"$ , $\"y=-5\"$ .
\n" ); document.write( " \n" ); document.write( "

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