1982 AMC 12 Question 15

Let $\lfloor z\rfloor$ denote the greatest integer not exceeding $z.$ Let $x$ and $y$ satisfy the simultaneous equations $$
\begin{aligned} y&=2\lfloor x\rfloor+3,\\ y&=3\lfloor x-2\rfloor+5. \end{aligned}
$$ If $x$ is not an integer, then $x+y$ is