$[\underline{\text { U }}$ equations in integers $]$ [ Factorization $]$

Solve the equation $x y+3 x-5 y=-3$ in integers.
Let's write the equation in the form $(x-5)(y+3)=-18$. Its solutions correspond to the representations of the number -18 as the product of two integers.

## Answer

$(-13,-2),(-4,-1),(-1,0),(2,3),(3,6),(4,15),(6,-21),(7,-12),(8,-9),(11,-6),(14,-5),(23,-4)$.

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