Solving a System of Equations with Cosine

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How do I solve a system of equations when there is a cosine.

Here is the system: $$ \left\{ \begin{array}{c} a+b=77° \\ \cos(a)=\frac{y}{3.5} \\ \cos(a)=\frac{y+1}{3.5+x} \\ \cos(b)=\frac{y+1}{3.5} \end{array} \right. $$