183. Solve the equation in integers:

$$
7 x+5 y=62
$$
183. $7 x+5 y=62, y=\frac{2(31-x)}{5}-x ; \quad$ therefore, $\frac{31-x}{5}$ is an integer; let $\frac{31-x}{5}=t$, then $x=31-$ $-5 t, y=2 t-(31-5 t)=7 t-31$.

Thus, all integer solutions of the equation are represented by the formulas $x=31-5 t$ and $y=7 t-31$, where $t$ is any integer common to both formulas.