# Easy Peasy..!!

**Algebra**Level 3

\[ \large \log_{\sqrt[2]{3}} (x+y) = 2 , \log_{\sqrt[3]{5}} (x-y) = -3 \]

The system of equation above holds true for real numbers \(x\) and \(y\). If \(2x+5y\) can be written as \( \dfrac ab\), where \(a\) and \(b\) are coprime positive integers, find \(a-b\).