# Circle and a line!

$\begin{cases} ax+by=1 \\ x^2 + y^2 = 50 \end{cases}$

For certain ordered pairs $$(a,b)$$ of real numbers, the system of equations above has at least one solution, and each solution is an ordered pair $$(x,y)$$ of integers. How many such ordered pairs $$(a,b)$$ are there?

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