Multi-equation Solver using Standard Algebra

Algebra Level 1

\[ \begin{cases} a+b=17 \\ c+d=20 \\ a-d = \dfrac{d-c}2 = 1 \end{cases} \]

Given that \(a,b,c\) and \(d\) are numbers satisfying the system of equations above, find \( \dfrac{b+c}{a-b} \).

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