Question: Find two numbers that multiply to make the 1st number and add to make the 2nd number.
Multiply $-36$; Add $-16$
1. **State the problem:** We need to find two numbers that multiply to $-36$ and add to $-16$.
2. **Formula and rules:** If the two numbers are $x$ and $y$, then:
$$x \times y = -36$$
$$x + y = -16$$
3. **Check each pair given:**
- Pair $(-12, 3)$: Multiply $-12 \times 3 = -36$, Add $-12 + 3 = -9$ (not $-16$)
- Pair $(-2, 18)$: Multiply $-2 \times 18 = -36$, Add $-2 + 18 = 16$ (not $-16$)
- Pair $(-9, 4)$: Multiply $-9 \times 4 = -36$, Add $-9 + 4 = -5$ (not $-16$)
- Pair $(-18, 2)$: Multiply $-18 \times 2 = -36$, Add $-18 + 2 = -16$ (correct)
4. **Conclusion:** The correct pair is $-18$ and $2$ because they multiply to $-36$ and add to $-16$.
**Final answer:** $-18, 2$