Hi plz give me a help to find the answer for following

If $\displaystyle a \ne 0$, gcd(a,b)=g and $\displaystyle (x_0,y_0)$ is a solution of $\displaystyle ax+by=c$ then show that

$\displaystyle x=x_0+\frac{b}{g}t$, $\displaystyle y=y_0-\frac{a}{g}t$