# Don't think too hard on this one

Algebra Level 4

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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