Question 191
Solve the following system of equations in the domain of real numbers
$$2x + \lfloor y \rfloor = 2022,$$
$$3y + \lfloor 2x \rfloor = 2023.$$
(The symbol $\lfloor a \rfloor$ denotes the lower integer part of a real number $a$, i.e. the greatest integer not greater than $a$. E.g. $\lfloor 1.9 \rfloor = 1$ and $\lfloor -1.1 \rfloor = -2$.)
$$2x + \lfloor y \rfloor = 2022,$$
$$3y + \lfloor 2x \rfloor = 2023.$$
(The symbol $\lfloor a \rfloor$ denotes the lower integer part of a real number $a$, i.e. the greatest integer not greater than $a$. E.g. $\lfloor 1.9 \rfloor = 1$ and $\lfloor -1.1 \rfloor = -2$.)