It seems you're referencing a tableau, likely from a linear programming problem or a matrix, but I need more context to help you solve for $x_{11}$, $x_{22}$, and $s_1$. Could you provide the tableau or more specific information, such as equations or values present in it?

Once I have that, I can guide you through the solution.

If you'd like, you can also upload an image of the tableau for me to analyze.

Would you like more details or help clarifying? Here are five questions that may relate to your problem:

1. Is this part of a simplex method tableau?
2. Are $x_{11}$ and $x_{22}$ related to variables in a linear programming problem?
3. Is there a system of equations or inequalities you're working with?
4. Is $s_1$ a slack variable in the context of an optimization problem?
5. Are you working with any objective function in the problem?

Tip: When analyzing a tableau, identify the pivot element first; it plays a crucial role in updating the rest of the table.