The question is asking to write the general solution of the equation $x + y = 11$ and also provide a specific solution pair where $x = 10$.

1. General Solution:

The equation $x + y = 11$ can be rewritten to express $y$ in terms of $x$: $y = 11 - x$ Thus, the general solution is: $(x, 11 - x), \quad \text{where } x \in \mathbb{R}.$

2. Specific Solution Pair:

If $x = 10$, substitute into the equation $y = 11 - x$: $y = 11 - 10 = 1$ So, the specific solution is: $(10, 1)$

Final Answer:

• General Solution: $(x, 11 - x)$, where $x \in \mathbb{R}$
• Specific Solution: $(10, 1)$

Would you like me to explain this further or verify anything else?

Here are 5 related questions for practice:

1. How would you find the specific solution if $x = 7$?
2. What is the general solution of $x - y = 5$?
3. If $x + y = 11$, can $x$ and $y$ both be integers? Why?
4. How does the graph of $x + y = 11$ look on the coordinate plane?
5. What are the intercepts of the line $x + y = 11$?

Tip: In linear equations like $x + y = 11$, you can always rewrite $y$ as a function of $x$ to find the general solution.