Answer
$(\frac{1}{5},\frac{1}{3})$
Work Step by Step
1. Rewrite the second equation, divide by 5 to get $\frac{3}{5x}+\frac{1}{y}=0$
2. Add the above to the first equation to get $\frac{8}{5x}=8$, thus $x=\frac{1}{5}$
3. Back substitute the $x$ in the second equation to get $3(5)-\frac{5}{y}=0$, thus $y=\frac{1}{3}$
4. The solution pair is $(\frac{1}{5},\frac{1}{3})$
