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If the two system of equations

$\begin{cases} ax+by=1\\ 3x-y=2\\ \end{cases}$

$\begin{cases} x+2y=1\\ ax-by=-2\\ \end{cases}$

has the same solution $(x,y)$, then the value of $a+b$ is $\frac{m}{n}$ for relatively prime $m$ and $n$. Find $m+n$.

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