Please, solve for $x$ and $y$, $$(x+i)(3-iy)=1+13i, \quad x,y \in \text{Reals}$$
2026-04-11 20:13:22.1775938402
Solve an algebraic equation involving complex numbers
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$$(x+i)(3-iy) = 1+13i $$
$$ 3x+y+i(3-xy) = 1+13i \implies \left\{ 3x+y = 1 \atop 3-xy = 13 \right.$$
Now solve the system for x and y.