Given the equations $a = 4001$ and $b = 2689$, it seems like there might be additional context or a system of equations that relates $a$ and $b$ to $x$ and $y$. However, since no such equations are provided, we cannot determine the values of $x$ and $y$ directly.

If you have a specific system of equations or any additional relationships between $a$, $b$, $x$, and $y$, please provide that, and I can help solve for $x$ and $y$.

Would you like to clarify or provide more context?

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Here are 5 related questions:

1. Are there any equations or relationships that involve $x$ and $y$ in relation to $a$ and $b$?
2. Could $x$ and $y$ be dependent on the values of $a$ and $b$ in some way?
3. Is this a system of linear equations problem, and if so, what are the equations?
4. Are $x$ and $y$ solutions to a specific type of equation (e.g., linear, quadratic) involving $a$ and $b$?
5. Could this be part of a problem involving ratios, proportions, or another mathematical concept?

Tip: When dealing with variables like $x$ and $y$, it's important to establish the relationships or equations they satisfy to solve for them accurately.