# Linear Manipulating

Algebra Level 3

Given that $$a,b$$ and $$c$$ are non-zero numbers that satisfy the system of equations below.

$\begin{cases} a-10b = 0 \\ c+b=2 \\ 10ac- c = 20 \\ \end{cases}$

Find the value of $$\dfrac 1a + \dfrac 1b + \dfrac 1c$$.

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