Question: Find two numbers that multiply to make the 1st number and add to make the 2nd number.
Multiply -26; Add 11
Select the correct response:
-13, 2
26, -1
13, -2
-26, 1
1. **State the problem:** We need to find two numbers that multiply to $$-26$$ and add to $$11$$.
2. **Write down what is given:**
- Product: $$-26$$
- Sum: $$11$$
3. **Recall the rule:** For two numbers $$x$$ and $$y$$,
$$x \times y = -26$$ and $$x + y = 11$$.
4. **Check each option:**
- Option 1: $$-13, 2$$
- Multiply: $$-13 \times 2 = -26$$ (correct)
- Add: $$-13 + 2 = -11$$ (not correct)
- Option 2: $$26, -1$$
- Multiply: $$26 \times (-1) = -26$$ (correct)
- Add: $$26 + (-1) = 25$$ (not correct)
- Option 3: $$13, -2$$
- Multiply: $$13 \times (-2) = -26$$ (correct)
- Add: $$13 + (-2) = 11$$ (correct)
- Option 4: $$-26, 1$$
- Multiply: $$-26 \times 1 = -26$$ (correct)
- Add: $$-26 + 1 = -25$$ (not correct)
5. **Conclusion:** The pair that satisfies both conditions is $$13$$ and $$-2$$.
**Final answer:** $$13, -2$$