Subjects algebra

Multiply Add 4A5D44

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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:** $-18, 2$