# Complex Equations

Algebra Level 4

\begin{align} (2-3i)z + (5+i)w &= 19-4i\\ (1-i)z + (2+i)w &= 9-i \end{align}

Let $$z$$ and $$w$$ be the complex numbers satisfying the equations above.

Compute $$|z+w|^2$$.


Note: $$i^2 = -1$$, and $$|z|$$ is the absolute value of $$z$$.

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