[ Equations in integers ]

Find all integer solutions of the equation $21 x+48 y=6$.

#
After reducing by 3, we get the equation $7 x+16 y=2$. A particular solution is $x_{0}=-2, y_{0}=1$.

## Answer

$(-2+16 k, 1-7 k), k \in \mathbf{Z}$