Question

x+y÷xy=2 : x-y/xy=6
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Answer 1

${\red{\sf{\frac{x+y}{xy}=2⟹x+y=2xy}}}$

${\red{\sf{\frac{x-y}{xy}=6⟹x-y=6xy}}}$

Add both equations,

${\pink{\sf{x+y=2xy}}}$

${\pink{\sf{x-y=6xy}}}$

__________________________

${\purple{\sf{2x=8xy⟹y=\frac{1}{4}}}}$

${\purple{\sf{2y=-4xy⟹x=-\frac{1}{2}}}}$