x = 3
y = 4
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There are of course no end of correct answers and here are some examples.
There is at least one mistake. Can you find the errors when x=3 and y=4?
\(x + y = 8\)  \(x  y = 1\)  \(y  x = 1\) 
\(2x + 3y = 18\)  \(5x  2y = 12\)  \(4y  x = 13\) 
\(xy  10 = 2\)  \(180  2x + y = 178\)  \(20x  3xy = 24\) 
\(x^2 + y = 13\)  \(10x  y^2 = 14\)  \(y^2  x^2 = 7\) 
\(x^2y + 13 = 49\)  \(x^2y^2  2x = 152\)  \(x^2y^2 = 591\) 
\(x! + y = 10\)  \(5(x + y) = 35\)  \(3y \div x = 4\) 
\(\frac{xy}{2}= 6\)  \(\frac{84}{xy}= 7\)  \(\frac{15y}{5x}= y\) 
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