What value of p makes both sentences true? 12×p=84 and 84÷12=p

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Multiple Choice

What value of p makes both sentences true? 12×p=84 and 84÷12=p

Explanation:
When you’re solving an equation like 12 × p = 84, you undo the multiplication by dividing both sides by 12. This gives p = 84 ÷ 12 = 7. The second statement says 84 ÷ 12 = p, which also equals 7. Since both statements require p to be 7, that value makes both true. Quick check: 12 × 7 = 84 and 84 ÷ 12 = 7. Any other number wouldn’t satisfy the first equation, and the second equation fixedly gives p = 7, so 7 is the consistent solution.

When you’re solving an equation like 12 × p = 84, you undo the multiplication by dividing both sides by 12. This gives p = 84 ÷ 12 = 7. The second statement says 84 ÷ 12 = p, which also equals 7. Since both statements require p to be 7, that value makes both true. Quick check: 12 × 7 = 84 and 84 ÷ 12 = 7. Any other number wouldn’t satisfy the first equation, and the second equation fixedly gives p = 7, so 7 is the consistent solution.

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